What is the Greatest Common Factor of 79868 and 79876?

Greatest common factor (GCF) of 79868 and 79876 is 4.

GCF(79868,79876) = 4

We will now calculate the prime factors of 79868 and 79876, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79868 and 79876.

How to find the GCF of 79868 and 79876?

We will first find the prime factorization of 79868 and 79876. After we will calculate the factors of 79868 and 79876 and find the biggest common factor number .

Step-1: Prime Factorization of 79868

Prime factors of 79868 are 2, 41, 487. Prime factorization of 79868 in exponential form is:

79868 = 2² × 41¹ × 487¹

Step-2: Prime Factorization of 79876

Prime factors of 79876 are 2, 19, 1051. Prime factorization of 79876 in exponential form is:

79876 = 2² × 19¹ × 1051¹

Step-3: Factors of 79868

List of positive integer factors of 79868 that divides 79868 without a remainder.

1, 2, 4, 41, 82, 164, 487, 974, 1948, 19967, 39934

Step-4: Factors of 79876

List of positive integer factors of 79876 that divides 79868 without a remainder.

1, 2, 4, 19, 38, 76, 1051, 2102, 4204, 19969, 39938

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79868 and 79876. The biggest common factor number is the GCF number.
So the greatest common factor 79868 and 79876 is 4.

Also check out the Least Common Multiple of 79868 and 79876