What is the Greatest Common Factor of 97132 and 97146?

Greatest common factor (GCF) of 97132 and 97146 is 14.

GCF(97132,97146) = 14

We will now calculate the prime factors of 97132 and 97146, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97132 and 97146.

How to find the GCF of 97132 and 97146?

We will first find the prime factorization of 97132 and 97146. After we will calculate the factors of 97132 and 97146 and find the biggest common factor number .

Step-1: Prime Factorization of 97132

Prime factors of 97132 are 2, 7, 3469. Prime factorization of 97132 in exponential form is:

97132 = 2² × 7¹ × 3469¹

Step-2: Prime Factorization of 97146

Prime factors of 97146 are 2, 3, 7, 257. Prime factorization of 97146 in exponential form is:

97146 = 2¹ × 3³ × 7¹ × 257¹

Step-3: Factors of 97132

List of positive integer factors of 97132 that divides 97132 without a remainder.

1, 2, 4, 7, 14, 28, 3469, 6938, 13876, 24283, 48566

Step-4: Factors of 97146

List of positive integer factors of 97146 that divides 97132 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 257, 378, 514, 771, 1542, 1799, 2313, 3598, 4626, 5397, 6939, 10794, 13878, 16191, 32382, 48573

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97132 and 97146. The biggest common factor number is the GCF number.
So the greatest common factor 97132 and 97146 is 14.

Also check out the Least Common Multiple of 97132 and 97146