What is the GCF of 2625 and 5040?
The GCF of 2625 and 5040 is 105.
Steps to find GCF
- Find the prime factorization of 2625
2625 = 3 × 5 × 5 × 5 × 7 - Find the prime factorization of 5040
5040 = 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 - To find the GCF, multiply all the prime factors common to both numbers:
Therefore, GCF = 3 × 5 × 7 - GCF = 105
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The greatest common factor (GCF) is also known as greatest common divisor (GCD) or highest common factor (HCF).