What is the Greatest Common Factor of 97146 and 97157?

Greatest common factor (GCF) of 97146 and 97157 is 1.

GCF(97146,97157) = 1

We will now calculate the prime factors of 97146 and 97157, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97146 and 97157.

How to find the GCF of 97146 and 97157?

We will first find the prime factorization of 97146 and 97157. After we will calculate the factors of 97146 and 97157 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 97157

Prime factors of 97157 are 97157. Prime factorization of 97157 in exponential form is:

97157 = 97157¹

Step-3: Factors of 97146

List of positive integer factors of 97146 that divides 97146 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

Step-4: Factors of 97157

List of positive integer factors of 97157 that divides 97146 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97146 and 97157. The biggest common factor number is the GCF number.
So the greatest common factor 97146 and 97157 is 1.

Also check out the Least Common Multiple of 97146 and 97157