What is the Greatest Common Factor of 97152 and 97162?

Greatest common factor (GCF) of 97152 and 97162 is 2.

GCF(97152,97162) = 2

We will now calculate the prime factors of 97152 and 97162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97152 and 97162.

How to find the GCF of 97152 and 97162?

We will first find the prime factorization of 97152 and 97162. After we will calculate the factors of 97152 and 97162 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 97162

Prime factors of 97162 are 2, 13, 37, 101. Prime factorization of 97162 in exponential form is:

97162 = 2¹ × 13¹ × 37¹ × 101¹

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 97162

List of positive integer factors of 97162 that divides 97152 without a remainder.

1, 2, 13, 26, 37, 74, 101, 202, 481, 962, 1313, 2626, 3737, 7474, 48581

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97152 and 97162. The biggest common factor number is the GCF number.
So the greatest common factor 97152 and 97162 is 2.

Also check out the Least Common Multiple of 97152 and 97162