What is the Greatest Common Factor of 97146 and 97160?

Greatest common factor (GCF) of 97146 and 97160 is 14.

GCF(97146,97160) = 14

We will now calculate the prime factors of 97146 and 97160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97146 and 97160.

How to find the GCF of 97146 and 97160?

We will first find the prime factorization of 97146 and 97160. After we will calculate the factors of 97146 and 97160 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 97160

Prime factors of 97160 are 2, 5, 7, 347. Prime factorization of 97160 in exponential form is:

97160 = 2³ × 5¹ × 7¹ × 347¹

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 97160

List of positive integer factors of 97160 that divides 97146 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280, 347, 694, 1388, 1735, 2429, 2776, 3470, 4858, 6940, 9716, 12145, 13880, 19432, 24290, 48580

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97146 and 97160. The biggest common factor number is the GCF number.
So the greatest common factor 97146 and 97160 is 14.

Also check out the Least Common Multiple of 97146 and 97160