What is the Greatest Common Factor of 79934 and 79940?

Greatest common factor (GCF) of 79934 and 79940 is 2.

GCF(79934,79940) = 2

We will now calculate the prime factors of 79934 and 79940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79934 and 79940.

How to find the GCF of 79934 and 79940?

We will first find the prime factorization of 79934 and 79940. After we will calculate the factors of 79934 and 79940 and find the biggest common factor number .

Step-1: Prime Factorization of 79934

Prime factors of 79934 are 2, 17, 2351. Prime factorization of 79934 in exponential form is:

79934 = 2¹ × 17¹ × 2351¹

Step-2: Prime Factorization of 79940

Prime factors of 79940 are 2, 5, 7, 571. Prime factorization of 79940 in exponential form is:

79940 = 2² × 5¹ × 7¹ × 571¹

Step-3: Factors of 79934

List of positive integer factors of 79934 that divides 79934 without a remainder.

1, 2, 17, 34, 2351, 4702, 39967

Step-4: Factors of 79940

List of positive integer factors of 79940 that divides 79934 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 571, 1142, 2284, 2855, 3997, 5710, 7994, 11420, 15988, 19985, 39970

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79934 and 79940. The biggest common factor number is the GCF number.
So the greatest common factor 79934 and 79940 is 2.

Also check out the Least Common Multiple of 79934 and 79940