What is the Greatest Common Factor of 78980 and 79000?

Greatest common factor (GCF) of 78980 and 79000 is 20.

GCF(78980,79000) = 20

We will now calculate the prime factors of 78980 and 79000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78980 and 79000.

How to find the GCF of 78980 and 79000?

We will first find the prime factorization of 78980 and 79000. After we will calculate the factors of 78980 and 79000 and find the biggest common factor number .

Step-1: Prime Factorization of 78980

Prime factors of 78980 are 2, 5, 11, 359. Prime factorization of 78980 in exponential form is:

78980 = 2² × 5¹ × 11¹ × 359¹

Step-2: Prime Factorization of 79000

Prime factors of 79000 are 2, 5, 79. Prime factorization of 79000 in exponential form is:

79000 = 2³ × 5³ × 79¹

Step-3: Factors of 78980

List of positive integer factors of 78980 that divides 78980 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 359, 718, 1436, 1795, 3590, 3949, 7180, 7898, 15796, 19745, 39490

Step-4: Factors of 79000

List of positive integer factors of 79000 that divides 78980 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 79, 100, 125, 158, 200, 250, 316, 395, 500, 632, 790, 1000, 1580, 1975, 3160, 3950, 7900, 9875, 15800, 19750, 39500

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78980 and 79000. The biggest common factor number is the GCF number.
So the greatest common factor 78980 and 79000 is 20.

Also check out the Least Common Multiple of 78980 and 79000