What is the Greatest Common Factor of 97152 and 97164?

Greatest common factor (GCF) of 97152 and 97164 is 12.

GCF(97152,97164) = 12

We will now calculate the prime factors of 97152 and 97164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97152 and 97164.

How to find the GCF of 97152 and 97164?

We will first find the prime factorization of 97152 and 97164. After we will calculate the factors of 97152 and 97164 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 97164

Prime factors of 97164 are 2, 3, 2699. Prime factorization of 97164 in exponential form is:

97164 = 2² × 3² × 2699¹

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 97164

List of positive integer factors of 97164 that divides 97152 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2699, 5398, 8097, 10796, 16194, 24291, 32388, 48582

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97152 and 97164. The biggest common factor number is the GCF number.
So the greatest common factor 97152 and 97164 is 12.

Also check out the Least Common Multiple of 97152 and 97164