What is the Greatest Common Factor of 76075 and 76092?

Greatest common factor (GCF) of 76075 and 76092 is 17.

GCF(76075,76092) = 17

We will now calculate the prime factors of 76075 and 76092, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76075 and 76092.

How to find the GCF of 76075 and 76092?

We will first find the prime factorization of 76075 and 76092. After we will calculate the factors of 76075 and 76092 and find the biggest common factor number .

Step-1: Prime Factorization of 76075

Prime factors of 76075 are 5, 17, 179. Prime factorization of 76075 in exponential form is:

76075 = 5² × 17¹ × 179¹

Step-2: Prime Factorization of 76092

Prime factors of 76092 are 2, 3, 17, 373. Prime factorization of 76092 in exponential form is:

76092 = 2² × 3¹ × 17¹ × 373¹

Step-3: Factors of 76075

List of positive integer factors of 76075 that divides 76075 without a remainder.

1, 5, 17, 25, 85, 179, 425, 895, 3043, 4475, 15215

Step-4: Factors of 76092

List of positive integer factors of 76092 that divides 76075 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 373, 746, 1119, 1492, 2238, 4476, 6341, 12682, 19023, 25364, 38046

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76075 and 76092. The biggest common factor number is the GCF number.
So the greatest common factor 76075 and 76092 is 17.

Also check out the Least Common Multiple of 76075 and 76092