What is the Greatest Common Factor of 7965 and 7979?

Greatest common factor (GCF) of 7965 and 7979 is 1.

GCF(7965,7979) = 1

We will now calculate the prime factors of 7965 and 7979, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7965 and 7979.

How to find the GCF of 7965 and 7979?

We will first find the prime factorization of 7965 and 7979. After we will calculate the factors of 7965 and 7979 and find the biggest common factor number .

Step-1: Prime Factorization of 7965

Prime factors of 7965 are 3, 5, 59. Prime factorization of 7965 in exponential form is:

7965 = 3³ × 5¹ × 59¹

Step-2: Prime Factorization of 7979

Prime factors of 7979 are 79, 101. Prime factorization of 7979 in exponential form is:

7979 = 79¹ × 101¹

Step-3: Factors of 7965

List of positive integer factors of 7965 that divides 7965 without a remainder.

1, 3, 5, 9, 15, 27, 45, 59, 135, 177, 295, 531, 885, 1593, 2655

Step-4: Factors of 7979

List of positive integer factors of 7979 that divides 7965 without a remainder.

1, 79, 101

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7965 and 7979. The biggest common factor number is the GCF number.
So the greatest common factor 7965 and 7979 is 1.

Also check out the Least Common Multiple of 7965 and 7979