What is the Greatest Common Factor of 76172 and 76192?

Greatest common factor (GCF) of 76172 and 76192 is 4.

GCF(76172,76192) = 4

We will now calculate the prime factors of 76172 and 76192, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76172 and 76192.

How to find the GCF of 76172 and 76192?

We will first find the prime factorization of 76172 and 76192. After we will calculate the factors of 76172 and 76192 and find the biggest common factor number .

Step-1: Prime Factorization of 76172

Prime factors of 76172 are 2, 137, 139. Prime factorization of 76172 in exponential form is:

76172 = 2² × 137¹ × 139¹

Step-2: Prime Factorization of 76192

Prime factors of 76192 are 2, 2381. Prime factorization of 76192 in exponential form is:

76192 = 2⁵ × 2381¹

Step-3: Factors of 76172

List of positive integer factors of 76172 that divides 76172 without a remainder.

1, 2, 4, 137, 139, 274, 278, 548, 556, 19043, 38086

Step-4: Factors of 76192

List of positive integer factors of 76192 that divides 76172 without a remainder.

1, 2, 4, 8, 16, 32, 2381, 4762, 9524, 19048, 38096

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76172 and 76192. The biggest common factor number is the GCF number.
So the greatest common factor 76172 and 76192 is 4.

Also check out the Least Common Multiple of 76172 and 76192