What is the Greatest Common Factor of 79400 and 79420?

Greatest common factor (GCF) of 79400 and 79420 is 20.

GCF(79400,79420) = 20

We will now calculate the prime factors of 79400 and 79420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79400 and 79420.

How to find the GCF of 79400 and 79420?

We will first find the prime factorization of 79400 and 79420. After we will calculate the factors of 79400 and 79420 and find the biggest common factor number .

Step-1: Prime Factorization of 79400

Prime factors of 79400 are 2, 5, 397. Prime factorization of 79400 in exponential form is:

79400 = 2³ × 5² × 397¹

Step-2: Prime Factorization of 79420

Prime factors of 79420 are 2, 5, 11, 19. Prime factorization of 79420 in exponential form is:

79420 = 2² × 5¹ × 11¹ × 19²

Step-3: Factors of 79400

List of positive integer factors of 79400 that divides 79400 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 397, 794, 1588, 1985, 3176, 3970, 7940, 9925, 15880, 19850, 39700

Step-4: Factors of 79420

List of positive integer factors of 79420 that divides 79400 without a remainder.

1, 2, 4, 5, 10, 11, 19, 20, 22, 38, 44, 55, 76, 95, 110, 190, 209, 220, 361, 380, 418, 722, 836, 1045, 1444, 1805, 2090, 3610, 3971, 4180, 7220, 7942, 15884, 19855, 39710

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79400 and 79420. The biggest common factor number is the GCF number.
So the greatest common factor 79400 and 79420 is 20.

Also check out the Least Common Multiple of 79400 and 79420