What is the Greatest Common Factor of 76136 and 76154?

Greatest common factor (GCF) of 76136 and 76154 is 2.

GCF(76136,76154) = 2

We will now calculate the prime factors of 76136 and 76154, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76136 and 76154.

How to find the GCF of 76136 and 76154?

We will first find the prime factorization of 76136 and 76154. After we will calculate the factors of 76136 and 76154 and find the biggest common factor number .

Step-1: Prime Factorization of 76136

Prime factors of 76136 are 2, 31, 307. Prime factorization of 76136 in exponential form is:

76136 = 2³ × 31¹ × 307¹

Step-2: Prime Factorization of 76154

Prime factors of 76154 are 2, 13, 29, 101. Prime factorization of 76154 in exponential form is:

76154 = 2¹ × 13¹ × 29¹ × 101¹

Step-3: Factors of 76136

List of positive integer factors of 76136 that divides 76136 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248, 307, 614, 1228, 2456, 9517, 19034, 38068

Step-4: Factors of 76154

List of positive integer factors of 76154 that divides 76136 without a remainder.

1, 2, 13, 26, 29, 58, 101, 202, 377, 754, 1313, 2626, 2929, 5858, 38077

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76136 and 76154. The biggest common factor number is the GCF number.
So the greatest common factor 76136 and 76154 is 2.

Also check out the Least Common Multiple of 76136 and 76154