What is the GCF of 7500 and 400?
The GCF of 7500 and 400 is 100.
Steps to find GCF
- Find the prime factorization of 7500
7500 = 2 × 2 × 3 × 5 × 5 × 5 × 5 - Find the prime factorization of 400
400 = 2 × 2 × 2 × 2 × 5 × 5 - To find the GCF, multiply all the prime factors common to both numbers:
Therefore, GCF = 2 × 2 × 5 × 5 - GCF = 100
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The greatest common factor (GCF) is also known as greatest common divisor (GCD) or highest common factor (HCF).