What is the GCF of 105 and 30?
The GCF of 105 and 30 is 15.
Steps to find GCF
- Find the prime factorization of 105
105 = 3 × 5 × 7 - Find the prime factorization of 30
30 = 2 × 3 × 5 - To find the GCF, multiply all the prime factors common to both numbers:
Therefore, GCF = 3 × 5 - GCF = 15
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GCF Calculator
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The greatest common factor (GCF) is also known as greatest common divisor (GCD) or highest common factor (HCF).