What is the GCF of 2000 and 5185?
The GCF of 2000 and 5185 is 5.
Steps to find GCF
- Find the prime factorization of 2000
2000 = 2 × 2 × 2 × 2 × 5 × 5 × 5 - Find the prime factorization of 5185
5185 = 5 × 17 × 61 - To find the GCF, multiply all the prime factors common to both numbers:
Therefore, GCF = 5
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The greatest common factor (GCF) is also known as greatest common divisor (GCD) or highest common factor (HCF).