What is the Greatest Common Factor of 96152 and 96169?

Greatest common factor (GCF) of 96152 and 96169 is 17.

GCF(96152,96169) = 17

We will now calculate the prime factors of 96152 and 96169, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96152 and 96169.

How to find the GCF of 96152 and 96169?

We will first find the prime factorization of 96152 and 96169. After we will calculate the factors of 96152 and 96169 and find the biggest common factor number .

Step-1: Prime Factorization of 96152

Prime factors of 96152 are 2, 7, 17, 101. Prime factorization of 96152 in exponential form is:

96152 = 2³ × 7¹ × 17¹ × 101¹

Step-2: Prime Factorization of 96169

Prime factors of 96169 are 17, 5657. Prime factorization of 96169 in exponential form is:

96169 = 17¹ × 5657¹

Step-3: Factors of 96152

List of positive integer factors of 96152 that divides 96152 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 101, 119, 136, 202, 238, 404, 476, 707, 808, 952, 1414, 1717, 2828, 3434, 5656, 6868, 12019, 13736, 24038, 48076

Step-4: Factors of 96169

List of positive integer factors of 96169 that divides 96152 without a remainder.

1, 17, 5657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96152 and 96169. The biggest common factor number is the GCF number.
So the greatest common factor 96152 and 96169 is 17.

Also check out the Least Common Multiple of 96152 and 96169