What is the Greatest Common Factor of 77420 and 77427?

Greatest common factor (GCF) of 77420 and 77427 is 7.

GCF(77420,77427) = 7

We will now calculate the prime factors of 77420 and 77427, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77420 and 77427.

How to find the GCF of 77420 and 77427?

We will first find the prime factorization of 77420 and 77427. After we will calculate the factors of 77420 and 77427 and find the biggest common factor number .

Step-1: Prime Factorization of 77420

Prime factors of 77420 are 2, 5, 7, 79. Prime factorization of 77420 in exponential form is:

77420 = 2² × 5¹ × 7² × 79¹

Step-2: Prime Factorization of 77427

Prime factors of 77427 are 3, 7, 1229. Prime factorization of 77427 in exponential form is:

77427 = 3² × 7¹ × 1229¹

Step-3: Factors of 77420

List of positive integer factors of 77420 that divides 77420 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 79, 98, 140, 158, 196, 245, 316, 395, 490, 553, 790, 980, 1106, 1580, 2212, 2765, 3871, 5530, 7742, 11060, 15484, 19355, 38710

Step-4: Factors of 77427

List of positive integer factors of 77427 that divides 77420 without a remainder.

1, 3, 7, 9, 21, 63, 1229, 3687, 8603, 11061, 25809

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77420 and 77427. The biggest common factor number is the GCF number.
So the greatest common factor 77420 and 77427 is 7.

Also check out the Least Common Multiple of 77420 and 77427