What is the Greatest Common Factor of 77134 and 77146?

Greatest common factor (GCF) of 77134 and 77146 is 2.

GCF(77134,77146) = 2

We will now calculate the prime factors of 77134 and 77146, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77134 and 77146.

How to find the GCF of 77134 and 77146?

We will first find the prime factorization of 77134 and 77146. After we will calculate the factors of 77134 and 77146 and find the biggest common factor number .

Step-1: Prime Factorization of 77134

Prime factors of 77134 are 2, 38567. Prime factorization of 77134 in exponential form is:

77134 = 2¹ × 38567¹

Step-2: Prime Factorization of 77146

Prime factors of 77146 are 2, 17, 2269. Prime factorization of 77146 in exponential form is:

77146 = 2¹ × 17¹ × 2269¹

Step-3: Factors of 77134

List of positive integer factors of 77134 that divides 77134 without a remainder.

1, 2, 38567

Step-4: Factors of 77146

List of positive integer factors of 77146 that divides 77134 without a remainder.

1, 2, 17, 34, 2269, 4538, 38573

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77134 and 77146. The biggest common factor number is the GCF number.
So the greatest common factor 77134 and 77146 is 2.

Also check out the Least Common Multiple of 77134 and 77146