What is the Greatest Common Factor of 77180 and 77196?

Greatest common factor (GCF) of 77180 and 77196 is 4.

GCF(77180,77196) = 4

We will now calculate the prime factors of 77180 and 77196, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77180 and 77196.

How to find the GCF of 77180 and 77196?

We will first find the prime factorization of 77180 and 77196. After we will calculate the factors of 77180 and 77196 and find the biggest common factor number .

Step-1: Prime Factorization of 77180

Prime factors of 77180 are 2, 5, 17, 227. Prime factorization of 77180 in exponential form is:

77180 = 2² × 5¹ × 17¹ × 227¹

Step-2: Prime Factorization of 77196

Prime factors of 77196 are 2, 3, 7, 919. Prime factorization of 77196 in exponential form is:

77196 = 2² × 3¹ × 7¹ × 919¹

Step-3: Factors of 77180

List of positive integer factors of 77180 that divides 77180 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 227, 340, 454, 908, 1135, 2270, 3859, 4540, 7718, 15436, 19295, 38590

Step-4: Factors of 77196

List of positive integer factors of 77196 that divides 77180 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 919, 1838, 2757, 3676, 5514, 6433, 11028, 12866, 19299, 25732, 38598

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77180 and 77196. The biggest common factor number is the GCF number.
So the greatest common factor 77180 and 77196 is 4.

Also check out the Least Common Multiple of 77180 and 77196