What is the Greatest Common Factor of 77420 and 77425?

Greatest common factor (GCF) of 77420 and 77425 is 5.

GCF(77420,77425) = 5

We will now calculate the prime factors of 77420 and 77425, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77420 and 77425.

How to find the GCF of 77420 and 77425?

We will first find the prime factorization of 77420 and 77425. After we will calculate the factors of 77420 and 77425 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 77425

Prime factors of 77425 are 5, 19, 163. Prime factorization of 77425 in exponential form is:

77425 = 5² × 19¹ × 163¹

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 77425

List of positive integer factors of 77425 that divides 77420 without a remainder.

1, 5, 19, 25, 95, 163, 475, 815, 3097, 4075, 15485

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77420 and 77425. The biggest common factor number is the GCF number.
So the greatest common factor 77420 and 77425 is 5.

Also check out the Least Common Multiple of 77420 and 77425