What is the Greatest Common Factor of 77136 and 77145?

Greatest common factor (GCF) of 77136 and 77145 is 3.

GCF(77136,77145) = 3

We will now calculate the prime factors of 77136 and 77145, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77136 and 77145.

How to find the GCF of 77136 and 77145?

We will first find the prime factorization of 77136 and 77145. After we will calculate the factors of 77136 and 77145 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 77145

Prime factors of 77145 are 3, 5, 37, 139. Prime factorization of 77145 in exponential form is:

77145 = 3¹ × 5¹ × 37¹ × 139¹

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 77145

List of positive integer factors of 77145 that divides 77136 without a remainder.

1, 3, 5, 15, 37, 111, 139, 185, 417, 555, 695, 2085, 5143, 15429, 25715

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77136 and 77145. The biggest common factor number is the GCF number.
So the greatest common factor 77136 and 77145 is 3.

Also check out the Least Common Multiple of 77136 and 77145