What is the GCF of 105 and 462?
The GCF of 105 and 462 is 21.
Steps to find GCF
- Find the prime factorization of 105
105 = 3 × 5 × 7 - Find the prime factorization of 462
462 = 2 × 3 × 7 × 11 - To find the GCF, multiply all the prime factors common to both numbers:
Therefore, GCF = 3 × 7 - GCF = 21
MathStep (Works offline)
Download our mobile app and learn how to find GCF of upto four numbers in your own time:
Android and iPhone/ iPad
Related
Find HCF of: 210 & 924 315 & 1386 35 & 154 525 & 2310 735 & 3234 15 & 66 210 & 462 105 & 924 315 & 462 105 & 1386 525 & 462 105 & 2310 735 & 462 105 & 3234
GCF Calculator
Enter two numbers separate by comma. To find GCF of more than two numbers, click here.
The greatest common factor (GCF) is also known as greatest common divisor (GCD) or highest common factor (HCF).