What is the Greatest Common Factor of 77125 and 77142?

Greatest common factor (GCF) of 77125 and 77142 is 1.

GCF(77125,77142) = 1

We will now calculate the prime factors of 77125 and 77142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77125 and 77142.

How to find the GCF of 77125 and 77142?

We will first find the prime factorization of 77125 and 77142. After we will calculate the factors of 77125 and 77142 and find the biggest common factor number .

Step-1: Prime Factorization of 77125

Prime factors of 77125 are 5, 617. Prime factorization of 77125 in exponential form is:

77125 = 5³ × 617¹

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 77125

List of positive integer factors of 77125 that divides 77125 without a remainder.

1, 5, 25, 125, 617, 3085, 15425

Step-4: Factors of 77142

List of positive integer factors of 77142 that divides 77125 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 77125 and 77142. The biggest common factor number is the GCF number.
So the greatest common factor 77125 and 77142 is 1.

Also check out the Least Common Multiple of 77125 and 77142