What is the Greatest Common Factor of 77129 and 77142?

Greatest common factor (GCF) of 77129 and 77142 is 13.

GCF(77129,77142) = 13

We will now calculate the prime factors of 77129 and 77142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77129 and 77142.

How to find the GCF of 77129 and 77142?

We will first find the prime factorization of 77129 and 77142. After we will calculate the factors of 77129 and 77142 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 77142

Prime factors of 77142 are 2, 3, 13, 23, 43. Prime factorization of 77142 in exponential form is:

77142 = 2¹ × 3¹ × 13¹ × 23¹ × 43¹

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 77142

List of positive integer factors of 77142 that divides 77129 without a remainder.

1, 2, 3, 6, 13, 23, 26, 39, 43, 46, 69, 78, 86, 129, 138, 258, 299, 559, 598, 897, 989, 1118, 1677, 1794, 1978, 2967, 3354, 5934, 12857, 25714, 38571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77129 and 77142. The biggest common factor number is the GCF number.
So the greatest common factor 77129 and 77142 is 13.

Also check out the Least Common Multiple of 77129 and 77142