What is the Greatest Common Factor of 97152 and 97169?

Greatest common factor (GCF) of 97152 and 97169 is 1.

GCF(97152,97169) = 1

We will now calculate the prime factors of 97152 and 97169, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97152 and 97169.

How to find the GCF of 97152 and 97169?

We will first find the prime factorization of 97152 and 97169. After we will calculate the factors of 97152 and 97169 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 97169

Prime factors of 97169 are 97169. Prime factorization of 97169 in exponential form is:

97169 = 97169¹

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 97169

List of positive integer factors of 97169 that divides 97152 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97152 and 97169. The biggest common factor number is the GCF number.
So the greatest common factor 97152 and 97169 is 1.

Also check out the Least Common Multiple of 97152 and 97169