What is the Greatest Common Factor of 97152 and 97158?

Greatest common factor (GCF) of 97152 and 97158 is 6.

GCF(97152,97158) = 6

We will now calculate the prime factors of 97152 and 97158, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97152 and 97158.

How to find the GCF of 97152 and 97158?

We will first find the prime factorization of 97152 and 97158. After we will calculate the factors of 97152 and 97158 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 97158

Prime factors of 97158 are 2, 3, 16193. Prime factorization of 97158 in exponential form is:

97158 = 2¹ × 3¹ × 16193¹

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 97158

List of positive integer factors of 97158 that divides 97152 without a remainder.

1, 2, 3, 6, 16193, 32386, 48579

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97152 and 97158. The biggest common factor number is the GCF number.
So the greatest common factor 97152 and 97158 is 6.

Also check out the Least Common Multiple of 97152 and 97158