What is the Greatest Common Factor of 91710 and 91725?
Greatest common factor (GCF) of 91710 and 91725 is 15.
GCF(91710,91725) = 15
We will now calculate the prime factors of 91710 and 91725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91710 and 91725.
How to find the GCF of 91710 and 91725?
We will first find the prime factorization of 91710 and 91725. After we will calculate the factors of 91710 and 91725 and find the biggest common factor number .
Step-1: Prime Factorization of 91710
Prime factors of 91710 are 2, 3, 5, 1019. Prime factorization of 91710 in exponential form is:
91710 = 21 × 32 × 51 × 10191
Step-2: Prime Factorization of 91725
Prime factors of 91725 are 3, 5, 1223. Prime factorization of 91725 in exponential form is:
91725 = 31 × 52 × 12231
Step-3: Factors of 91710
List of positive integer factors of 91710 that divides 91710 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 1019, 2038, 3057, 5095, 6114, 9171, 10190, 15285, 18342, 30570, 45855
Step-4: Factors of 91725
List of positive integer factors of 91725 that divides 91710 without a remainder.
1, 3, 5, 15, 25, 75, 1223, 3669, 6115, 18345, 30575
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 91710 and 91725. The biggest common factor number is the GCF number.
So the greatest common factor 91710 and 91725 is 15.
Also check out the Least Common Multiple of 91710 and 91725
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