What is the Greatest Common Factor of 97113 and 97125?
Greatest common factor (GCF) of 97113 and 97125 is 3.
GCF(97113,97125) = 3
We will now calculate the prime factors of 97113 and 97125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97113 and 97125.
How to find the GCF of 97113 and 97125?
We will first find the prime factorization of 97113 and 97125. After we will calculate the factors of 97113 and 97125 and find the biggest common factor number .
Step-1: Prime Factorization of 97113
Prime factors of 97113 are 3, 32371. Prime factorization of 97113 in exponential form is:
97113 = 31 × 323711
Step-2: Prime Factorization of 97125
Prime factors of 97125 are 3, 5, 7, 37. Prime factorization of 97125 in exponential form is:
97125 = 31 × 53 × 71 × 371
Step-3: Factors of 97113
List of positive integer factors of 97113 that divides 97113 without a remainder.
1, 3, 32371
Step-4: Factors of 97125
List of positive integer factors of 97125 that divides 97113 without a remainder.
1, 3, 5, 7, 15, 21, 25, 35, 37, 75, 105, 111, 125, 175, 185, 259, 375, 525, 555, 777, 875, 925, 1295, 2625, 2775, 3885, 4625, 6475, 13875, 19425, 32375
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 97113 and 97125. The biggest common factor number is the GCF number.
So the greatest common factor 97113 and 97125 is 3.
Also check out the Least Common Multiple of 97113 and 97125
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