What is the Greatest Common Factor of 79891 and 79905?

Greatest common factor (GCF) of 79891 and 79905 is 7.

GCF(79891,79905) = 7

We will now calculate the prime factors of 79891 and 79905, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79891 and 79905.

How to find the GCF of 79891 and 79905?

We will first find the prime factorization of 79891 and 79905. After we will calculate the factors of 79891 and 79905 and find the biggest common factor number .

Step-1: Prime Factorization of 79891

Prime factors of 79891 are 7, 101, 113. Prime factorization of 79891 in exponential form is:

79891 = 7¹ × 101¹ × 113¹

Step-2: Prime Factorization of 79905

Prime factors of 79905 are 3, 5, 7, 761. Prime factorization of 79905 in exponential form is:

79905 = 3¹ × 5¹ × 7¹ × 761¹

Step-3: Factors of 79891

List of positive integer factors of 79891 that divides 79891 without a remainder.

1, 7, 101, 113, 707, 791, 11413

Step-4: Factors of 79905

List of positive integer factors of 79905 that divides 79891 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 761, 2283, 3805, 5327, 11415, 15981, 26635

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79891 and 79905. The biggest common factor number is the GCF number.
So the greatest common factor 79891 and 79905 is 7.

Also check out the Least Common Multiple of 79891 and 79905