What is the Greatest Common Factor of 79971 and 79990?

Greatest common factor (GCF) of 79971 and 79990 is 19.

GCF(79971,79990) = 19

We will now calculate the prime factors of 79971 and 79990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79971 and 79990.

How to find the GCF of 79971 and 79990?

We will first find the prime factorization of 79971 and 79990. After we will calculate the factors of 79971 and 79990 and find the biggest common factor number .

Step-1: Prime Factorization of 79971

Prime factors of 79971 are 3, 19, 23, 61. Prime factorization of 79971 in exponential form is:

79971 = 3¹ × 19¹ × 23¹ × 61¹

Step-2: Prime Factorization of 79990

Prime factors of 79990 are 2, 5, 19, 421. Prime factorization of 79990 in exponential form is:

79990 = 2¹ × 5¹ × 19¹ × 421¹

Step-3: Factors of 79971

List of positive integer factors of 79971 that divides 79971 without a remainder.

1, 3, 19, 23, 57, 61, 69, 183, 437, 1159, 1311, 1403, 3477, 4209, 26657

Step-4: Factors of 79990

List of positive integer factors of 79990 that divides 79971 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 421, 842, 2105, 4210, 7999, 15998, 39995

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79971 and 79990. The biggest common factor number is the GCF number.
So the greatest common factor 79971 and 79990 is 19.

Also check out the Least Common Multiple of 79971 and 79990