What is the Greatest Common Factor of 7975 and 7985?

Greatest common factor (GCF) of 7975 and 7985 is 5.

GCF(7975,7985) = 5

We will now calculate the prime factors of 7975 and 7985, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7975 and 7985.

How to find the GCF of 7975 and 7985?

We will first find the prime factorization of 7975 and 7985. After we will calculate the factors of 7975 and 7985 and find the biggest common factor number .

Step-1: Prime Factorization of 7975

Prime factors of 7975 are 5, 11, 29. Prime factorization of 7975 in exponential form is:

7975 = 5² × 11¹ × 29¹

Step-2: Prime Factorization of 7985

Prime factors of 7985 are 5, 1597. Prime factorization of 7985 in exponential form is:

7985 = 5¹ × 1597¹

Step-3: Factors of 7975

List of positive integer factors of 7975 that divides 7975 without a remainder.

1, 5, 11, 25, 29, 55, 145, 275, 319, 725, 1595

Step-4: Factors of 7985

List of positive integer factors of 7985 that divides 7975 without a remainder.

1, 5, 1597

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7975 and 7985. The biggest common factor number is the GCF number.
So the greatest common factor 7975 and 7985 is 5.

Also check out the Least Common Multiple of 7975 and 7985