What is the Greatest Common Factor of 79807 and 79814?

Greatest common factor (GCF) of 79807 and 79814 is 7.

GCF(79807,79814) = 7

We will now calculate the prime factors of 79807 and 79814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79807 and 79814.

How to find the GCF of 79807 and 79814?

We will first find the prime factorization of 79807 and 79814. After we will calculate the factors of 79807 and 79814 and find the biggest common factor number .

Step-1: Prime Factorization of 79807

Prime factors of 79807 are 7, 13, 877. Prime factorization of 79807 in exponential form is:

79807 = 7¹ × 13¹ × 877¹

Step-2: Prime Factorization of 79814

Prime factors of 79814 are 2, 7, 5701. Prime factorization of 79814 in exponential form is:

79814 = 2¹ × 7¹ × 5701¹

Step-3: Factors of 79807

List of positive integer factors of 79807 that divides 79807 without a remainder.

1, 7, 13, 91, 877, 6139, 11401

Step-4: Factors of 79814

List of positive integer factors of 79814 that divides 79807 without a remainder.

1, 2, 7, 14, 5701, 11402, 39907

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79807 and 79814. The biggest common factor number is the GCF number.
So the greatest common factor 79807 and 79814 is 7.

Also check out the Least Common Multiple of 79807 and 79814