What is the Greatest Common Factor of 97152 and 97163?

Greatest common factor (GCF) of 97152 and 97163 is 11.

GCF(97152,97163) = 11

We will now calculate the prime factors of 97152 and 97163, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97152 and 97163.

How to find the GCF of 97152 and 97163?

We will first find the prime factorization of 97152 and 97163. After we will calculate the factors of 97152 and 97163 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 97163

Prime factors of 97163 are 11, 73. Prime factorization of 97163 in exponential form is:

97163 = 11³ × 73¹

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 97163

List of positive integer factors of 97163 that divides 97152 without a remainder.

1, 11, 73, 121, 803, 1331, 8833

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97152 and 97163. The biggest common factor number is the GCF number.
So the greatest common factor 97152 and 97163 is 11.

Also check out the Least Common Multiple of 97152 and 97163