What is the GCF of 6300 and 1764?
The GCF of 6300 and 1764 is 252.
Steps to find GCF
- Find the prime factorization of 6300
6300 = 2 × 2 × 3 × 3 × 5 × 5 × 7 - Find the prime factorization of 1764
1764 = 2 × 2 × 3 × 3 × 7 × 7 - To find the GCF, multiply all the prime factors common to both numbers:
Therefore, GCF = 2 × 2 × 3 × 3 × 7 - GCF = 252
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The greatest common factor (GCF) is also known as greatest common divisor (GCD) or highest common factor (HCF).