What is the Greatest Common Factor of 77130 and 77148?

Greatest common factor (GCF) of 77130 and 77148 is 18.

GCF(77130,77148) = 18

We will now calculate the prime factors of 77130 and 77148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77130 and 77148.

How to find the GCF of 77130 and 77148?

We will first find the prime factorization of 77130 and 77148. After we will calculate the factors of 77130 and 77148 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 77148

Prime factors of 77148 are 2, 3, 2143. Prime factorization of 77148 in exponential form is:

77148 = 2² × 3² × 2143¹

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 77148

List of positive integer factors of 77148 that divides 77130 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2143, 4286, 6429, 8572, 12858, 19287, 25716, 38574

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77130 and 77148. The biggest common factor number is the GCF number.
So the greatest common factor 77130 and 77148 is 18.

Also check out the Least Common Multiple of 77130 and 77148