What is the Greatest Common Factor of 77136 and 77142?

Greatest common factor (GCF) of 77136 and 77142 is 6.

GCF(77136,77142) = 6

We will now calculate the prime factors of 77136 and 77142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77136 and 77142.

How to find the GCF of 77136 and 77142?

We will first find the prime factorization of 77136 and 77142. After we will calculate the factors of 77136 and 77142 and find the biggest common factor number .

Step-1: Prime Factorization of 77136

Prime factors of 77136 are 2, 3, 1607. Prime factorization of 77136 in exponential form is:

77136 = 2⁴ × 3¹ × 1607¹

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 77136

List of positive integer factors of 77136 that divides 77136 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1607, 3214, 4821, 6428, 9642, 12856, 19284, 25712, 38568

Step-4: Factors of 77142

List of positive integer factors of 77142 that divides 77136 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 77136 and 77142. The biggest common factor number is the GCF number.
So the greatest common factor 77136 and 77142 is 6.

Also check out the Least Common Multiple of 77136 and 77142