What is the Greatest Common Factor of 97152 and 97168?

Greatest common factor (GCF) of 97152 and 97168 is 16.

GCF(97152,97168) = 16

We will now calculate the prime factors of 97152 and 97168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97152 and 97168.

How to find the GCF of 97152 and 97168?

We will first find the prime factorization of 97152 and 97168. After we will calculate the factors of 97152 and 97168 and find the biggest common factor number .

Step-1: Prime Factorization of 97152

Prime factors of 97152 are 2, 3, 11, 23. Prime factorization of 97152 in exponential form is:

97152 = 2⁷ × 3¹ × 11¹ × 23¹

Step-2: Prime Factorization of 97168

Prime factors of 97168 are 2, 6073. Prime factorization of 97168 in exponential form is:

97168 = 2⁴ × 6073¹

Step-3: Factors of 97152

List of positive integer factors of 97152 that divides 97152 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 23, 24, 32, 33, 44, 46, 48, 64, 66, 69, 88, 92, 96, 128, 132, 138, 176, 184, 192, 253, 264, 276, 352, 368, 384, 506, 528, 552, 704, 736, 759, 1012, 1056, 1104, 1408, 1472, 1518, 2024, 2112, 2208, 2944, 3036, 4048, 4224, 4416, 6072, 8096, 8832, 12144, 16192, 24288, 32384, 48576

Step-4: Factors of 97168

List of positive integer factors of 97168 that divides 97152 without a remainder.

1, 2, 4, 8, 16, 6073, 12146, 24292, 48584

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97152 and 97168. The biggest common factor number is the GCF number.
So the greatest common factor 97152 and 97168 is 16.

Also check out the Least Common Multiple of 97152 and 97168