What is the GCF of 6750 and 735?
The GCF of 6750 and 735 is 15.
Steps to find GCF
- Find the prime factorization of 6750
6750 = 2 × 3 × 3 × 3 × 5 × 5 × 5 - Find the prime factorization of 735
735 = 3 × 5 × 7 × 7 - To find the GCF, multiply all the prime factors common to both numbers:
Therefore, GCF = 3 × 5 - GCF = 15
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The greatest common factor (GCF) is also known as greatest common divisor (GCD) or highest common factor (HCF).