What is the Greatest Common Factor of 97140 and 97152?

Greatest common factor (GCF) of 97140 and 97152 is 12.

GCF(97140,97152) = 12

We will now calculate the prime factors of 97140 and 97152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97140 and 97152.

How to find the GCF of 97140 and 97152?

We will first find the prime factorization of 97140 and 97152. After we will calculate the factors of 97140 and 97152 and find the biggest common factor number .

Step-1: Prime Factorization of 97140

Prime factors of 97140 are 2, 3, 5, 1619. Prime factorization of 97140 in exponential form is:

97140 = 2² × 3¹ × 5¹ × 1619¹

Step-2: 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-3: Factors of 97140

List of positive integer factors of 97140 that divides 97140 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1619, 3238, 4857, 6476, 8095, 9714, 16190, 19428, 24285, 32380, 48570

Step-4: Factors of 97152

List of positive integer factors of 97152 that divides 97140 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97140 and 97152. The biggest common factor number is the GCF number.
So the greatest common factor 97140 and 97152 is 12.

Also check out the Least Common Multiple of 97140 and 97152