What is the Greatest Common Factor of 77129 and 77146?

Greatest common factor (GCF) of 77129 and 77146 is 17.

GCF(77129,77146) = 17

We will now calculate the prime factors of 77129 and 77146, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77129 and 77146.

How to find the GCF of 77129 and 77146?

We will first find the prime factorization of 77129 and 77146. After we will calculate the factors of 77129 and 77146 and find the biggest common factor number .

Step-1: Prime Factorization of 77129

Prime factors of 77129 are 13, 17, 349. Prime factorization of 77129 in exponential form is:

77129 = 13¹ × 17¹ × 349¹

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 77129

List of positive integer factors of 77129 that divides 77129 without a remainder.

1, 13, 17, 221, 349, 4537, 5933

Step-4: Factors of 77146

List of positive integer factors of 77146 that divides 77129 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77129 and 77146. The biggest common factor number is the GCF number.
So the greatest common factor 77129 and 77146 is 17.

Also check out the Least Common Multiple of 77129 and 77146