What is the Greatest Common Factor of 79882 and 79902?

Greatest common factor (GCF) of 79882 and 79902 is 2.

GCF(79882,79902) = 2

We will now calculate the prime factors of 79882 and 79902, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79882 and 79902.

How to find the GCF of 79882 and 79902?

We will first find the prime factorization of 79882 and 79902. After we will calculate the factors of 79882 and 79902 and find the biggest common factor number .

Step-1: Prime Factorization of 79882

Prime factors of 79882 are 2, 11, 3631. Prime factorization of 79882 in exponential form is:

79882 = 2¹ × 11¹ × 3631¹

Step-2: Prime Factorization of 79902

Prime factors of 79902 are 2, 3, 23, 193. Prime factorization of 79902 in exponential form is:

79902 = 2¹ × 3² × 23¹ × 193¹

Step-3: Factors of 79882

List of positive integer factors of 79882 that divides 79882 without a remainder.

1, 2, 11, 22, 3631, 7262, 39941

Step-4: Factors of 79902

List of positive integer factors of 79902 that divides 79882 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 193, 207, 386, 414, 579, 1158, 1737, 3474, 4439, 8878, 13317, 26634, 39951

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79882 and 79902. The biggest common factor number is the GCF number.
So the greatest common factor 79882 and 79902 is 2.

Also check out the Least Common Multiple of 79882 and 79902