What is the Greatest Common Factor of 64720 and 64725?
Greatest common factor (GCF) of 64720 and 64725 is 5.
GCF(64720,64725) = 5
We will now calculate the prime factors of 64720 and 64725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64720 and 64725.
How to find the GCF of 64720 and 64725?
We will first find the prime factorization of 64720 and 64725. After we will calculate the factors of 64720 and 64725 and find the biggest common factor number .
Step-1: Prime Factorization of 64720
Prime factors of 64720 are 2, 5, 809. Prime factorization of 64720 in exponential form is:
64720 = 24 × 51 × 8091
Step-2: Prime Factorization of 64725
Prime factors of 64725 are 3, 5, 863. Prime factorization of 64725 in exponential form is:
64725 = 31 × 52 × 8631
Step-3: Factors of 64720
List of positive integer factors of 64720 that divides 64720 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 809, 1618, 3236, 4045, 6472, 8090, 12944, 16180, 32360
Step-4: Factors of 64725
List of positive integer factors of 64725 that divides 64720 without a remainder.
1, 3, 5, 15, 25, 75, 863, 2589, 4315, 12945, 21575
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 64720 and 64725. The biggest common factor number is the GCF number.
So the greatest common factor 64720 and 64725 is 5.
Also check out the Least Common Multiple of 64720 and 64725
Related Greatest Common Factors of 64720
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Related Greatest Common Factors of 64725
- GCF of 64725 and 64729
- GCF of 64725 and 64730
- GCF of 64725 and 64731
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- GCF of 64725 and 64739
- GCF of 64725 and 64740
- GCF of 64725 and 64741
- GCF of 64725 and 64742
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