What is the GCF of 490 and 6300?
The GCF of 490 and 6300 is 70.
Steps to find GCF
- Find the prime factorization of 490
490 = 2 × 5 × 7 × 7 - Find the prime factorization of 6300
6300 = 2 × 2 × 3 × 3 × 5 × 5 × 7 - To find the GCF, multiply all the prime factors common to both numbers:
Therefore, GCF = 2 × 5 × 7 - GCF = 70
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The greatest common factor (GCF) is also known as greatest common divisor (GCD) or highest common factor (HCF).