What is the Greatest Common Factor of 79902 and 79913?

Greatest common factor (GCF) of 79902 and 79913 is 1.

GCF(79902,79913) = 1

We will now calculate the prime factors of 79902 and 79913, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79902 and 79913.

How to find the GCF of 79902 and 79913?

We will first find the prime factorization of 79902 and 79913. After we will calculate the factors of 79902 and 79913 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 79913

Prime factors of 79913 are 157, 509. Prime factorization of 79913 in exponential form is:

79913 = 157¹ × 509¹

Step-3: Factors of 79902

List of positive integer factors of 79902 that divides 79902 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

Step-4: Factors of 79913

List of positive integer factors of 79913 that divides 79902 without a remainder.

1, 157, 509

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79902 and 79913. The biggest common factor number is the GCF number.
So the greatest common factor 79902 and 79913 is 1.

Also check out the Least Common Multiple of 79902 and 79913