What is the Greatest Common Factor of 97148 and 97156?
Greatest common factor (GCF) of 97148 and 97156 is 4.
GCF(97148,97156) = 4
We will now calculate the prime factors of 97148 and 97156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97148 and 97156.
How to find the GCF of 97148 and 97156?
We will first find the prime factorization of 97148 and 97156. After we will calculate the factors of 97148 and 97156 and find the biggest common factor number .
Step-1: Prime Factorization of 97148
Prime factors of 97148 are 2, 149, 163. Prime factorization of 97148 in exponential form is:
97148 = 22 × 1491 × 1631
Step-2: Prime Factorization of 97156
Prime factors of 97156 are 2, 107, 227. Prime factorization of 97156 in exponential form is:
97156 = 22 × 1071 × 2271
Step-3: Factors of 97148
List of positive integer factors of 97148 that divides 97148 without a remainder.
1, 2, 4, 149, 163, 298, 326, 596, 652, 24287, 48574
Step-4: Factors of 97156
List of positive integer factors of 97156 that divides 97148 without a remainder.
1, 2, 4, 107, 214, 227, 428, 454, 908, 24289, 48578
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 97148 and 97156. The biggest common factor number is the GCF number.
So the greatest common factor 97148 and 97156 is 4.
Also check out the Least Common Multiple of 97148 and 97156
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