What is the Greatest Common Factor of 77405 and 77420?

Greatest common factor (GCF) of 77405 and 77420 is 5.

GCF(77405,77420) = 5

We will now calculate the prime factors of 77405 and 77420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77405 and 77420.

How to find the GCF of 77405 and 77420?

We will first find the prime factorization of 77405 and 77420. After we will calculate the factors of 77405 and 77420 and find the biggest common factor number .

Step-1: Prime Factorization of 77405

Prime factors of 77405 are 5, 113, 137. Prime factorization of 77405 in exponential form is:

77405 = 5¹ × 113¹ × 137¹

Step-2: 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-3: Factors of 77405

List of positive integer factors of 77405 that divides 77405 without a remainder.

1, 5, 113, 137, 565, 685, 15481

Step-4: Factors of 77420

List of positive integer factors of 77420 that divides 77405 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77405 and 77420. The biggest common factor number is the GCF number.
So the greatest common factor 77405 and 77420 is 5.

Also check out the Least Common Multiple of 77405 and 77420