What is the Greatest Common Factor of 7925 and 7945?

Greatest common factor (GCF) of 7925 and 7945 is 5.

GCF(7925,7945) = 5

We will now calculate the prime factors of 7925 and 7945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7925 and 7945.

How to find the GCF of 7925 and 7945?

We will first find the prime factorization of 7925 and 7945. After we will calculate the factors of 7925 and 7945 and find the biggest common factor number .

Step-1: Prime Factorization of 7925

Prime factors of 7925 are 5, 317. Prime factorization of 7925 in exponential form is:

7925 = 5² × 317¹

Step-2: Prime Factorization of 7945

Prime factors of 7945 are 5, 7, 227. Prime factorization of 7945 in exponential form is:

7945 = 5¹ × 7¹ × 227¹

Step-3: Factors of 7925

List of positive integer factors of 7925 that divides 7925 without a remainder.

1, 5, 25, 317, 1585

Step-4: Factors of 7945

List of positive integer factors of 7945 that divides 7925 without a remainder.

1, 5, 7, 35, 227, 1135, 1589

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7925 and 7945. The biggest common factor number is the GCF number.
So the greatest common factor 7925 and 7945 is 5.

Also check out the Least Common Multiple of 7925 and 7945