What is the GCF of 2000 and 5184?
The GCF of 2000 and 5184 is 16.
Steps to find GCF
- Find the prime factorization of 2000
2000 = 2 × 2 × 2 × 2 × 5 × 5 × 5 - Find the prime factorization of 5184
5184 = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 - To find the GCF, multiply all the prime factors common to both numbers:
Therefore, GCF = 2 × 2 × 2 × 2 - GCF = 16
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The greatest common factor (GCF) is also known as greatest common divisor (GCD) or highest common factor (HCF).