What is the Greatest Common Factor of 79976 and 79982?

Greatest common factor (GCF) of 79976 and 79982 is 2.

GCF(79976,79982) = 2

We will now calculate the prime factors of 79976 and 79982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79976 and 79982.

How to find the GCF of 79976 and 79982?

We will first find the prime factorization of 79976 and 79982. After we will calculate the factors of 79976 and 79982 and find the biggest common factor number .

Step-1: Prime Factorization of 79976

Prime factors of 79976 are 2, 13, 769. Prime factorization of 79976 in exponential form is:

79976 = 2³ × 13¹ × 769¹

Step-2: Prime Factorization of 79982

Prime factors of 79982 are 2, 7, 29, 197. Prime factorization of 79982 in exponential form is:

79982 = 2¹ × 7¹ × 29¹ × 197¹

Step-3: Factors of 79976

List of positive integer factors of 79976 that divides 79976 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 769, 1538, 3076, 6152, 9997, 19994, 39988

Step-4: Factors of 79982

List of positive integer factors of 79982 that divides 79976 without a remainder.

1, 2, 7, 14, 29, 58, 197, 203, 394, 406, 1379, 2758, 5713, 11426, 39991

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79976 and 79982. The biggest common factor number is the GCF number.
So the greatest common factor 79976 and 79982 is 2.

Also check out the Least Common Multiple of 79976 and 79982