What is the Greatest Common Factor of 79940 and 79955?

Greatest common factor (GCF) of 79940 and 79955 is 5.

GCF(79940,79955) = 5

We will now calculate the prime factors of 79940 and 79955, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79940 and 79955.

How to find the GCF of 79940 and 79955?

We will first find the prime factorization of 79940 and 79955. After we will calculate the factors of 79940 and 79955 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 79955

Prime factors of 79955 are 5, 15991. Prime factorization of 79955 in exponential form is:

79955 = 5¹ × 15991¹

Step-3: Factors of 79940

List of positive integer factors of 79940 that divides 79940 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

Step-4: Factors of 79955

List of positive integer factors of 79955 that divides 79940 without a remainder.

1, 5, 15991

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79940 and 79955. The biggest common factor number is the GCF number.
So the greatest common factor 79940 and 79955 is 5.

Also check out the Least Common Multiple of 79940 and 79955