What is the Greatest Common Factor of 77130 and 77146?

Greatest common factor (GCF) of 77130 and 77146 is 2.

GCF(77130,77146) = 2

We will now calculate the prime factors of 77130 and 77146, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77130 and 77146.

How to find the GCF of 77130 and 77146?

We will first find the prime factorization of 77130 and 77146. After we will calculate the factors of 77130 and 77146 and find the biggest common factor number .

Step-1: Prime Factorization of 77130

Prime factors of 77130 are 2, 3, 5, 857. Prime factorization of 77130 in exponential form is:

77130 = 2¹ × 3² × 5¹ × 857¹

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 77130

List of positive integer factors of 77130 that divides 77130 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 857, 1714, 2571, 4285, 5142, 7713, 8570, 12855, 15426, 25710, 38565

Step-4: Factors of 77146

List of positive integer factors of 77146 that divides 77130 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77130 and 77146. The biggest common factor number is the GCF number.
So the greatest common factor 77130 and 77146 is 2.

Also check out the Least Common Multiple of 77130 and 77146