What is the Greatest Common Factor of 7485 and 7489?

Greatest common factor (GCF) of 7485 and 7489 is 1.

GCF(7485,7489) = 1

We will now calculate the prime factors of 7485 and 7489, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7485 and 7489.

How to find the GCF of 7485 and 7489?

We will first find the prime factorization of 7485 and 7489. After we will calculate the factors of 7485 and 7489 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 7489

Prime factors of 7489 are 7489. Prime factorization of 7489 in exponential form is:

7489 = 7489¹

Step-3: Factors of 7485

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

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

Step-4: Factors of 7489

List of positive integer factors of 7489 that divides 7485 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7485 and 7489. The biggest common factor number is the GCF number.
So the greatest common factor 7485 and 7489 is 1.

Also check out the Least Common Multiple of 7485 and 7489