What is the Greatest Common Factor of 7475 and 7485?

Greatest common factor (GCF) of 7475 and 7485 is 5.

GCF(7475,7485) = 5

We will now calculate the prime factors of 7475 and 7485, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7475 and 7485.

How to find the GCF of 7475 and 7485?

We will first find the prime factorization of 7475 and 7485. After we will calculate the factors of 7475 and 7485 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 7485

Prime factors of 7485 are 3, 5, 499. Prime factorization of 7485 in exponential form is:

7485 = 3¹ × 5¹ × 499¹

Step-3: Factors of 7475

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

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

Step-4: Factors of 7485

List of positive integer factors of 7485 that divides 7475 without a remainder.

1, 3, 5, 15, 499, 1497, 2495

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7475 and 7485. The biggest common factor number is the GCF number.
So the greatest common factor 7475 and 7485 is 5.

Also check out the Least Common Multiple of 7475 and 7485