What is the Greatest Common Factor of 7465 and 7475?

Greatest common factor (GCF) of 7465 and 7475 is 5.

GCF(7465,7475) = 5

We will now calculate the prime factors of 7465 and 7475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7465 and 7475.

How to find the GCF of 7465 and 7475?

We will first find the prime factorization of 7465 and 7475. After we will calculate the factors of 7465 and 7475 and find the biggest common factor number .

Step-1: Prime Factorization of 7465

Prime factors of 7465 are 5, 1493. Prime factorization of 7465 in exponential form is:

7465 = 5¹ × 1493¹

Step-2: Prime Factorization of 7475

Prime factors of 7475 are 5, 13, 23. Prime factorization of 7475 in exponential form is:

7475 = 5² × 13¹ × 23¹

Step-3: Factors of 7465

List of positive integer factors of 7465 that divides 7465 without a remainder.

1, 5, 1493

Step-4: Factors of 7475

List of positive integer factors of 7475 that divides 7465 without a remainder.

1, 5, 13, 23, 25, 65, 115, 299, 325, 575, 1495

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7465 and 7475. The biggest common factor number is the GCF number.
So the greatest common factor 7465 and 7475 is 5.

Also check out the Least Common Multiple of 7465 and 7475