What is the Greatest Common Factor of 7525 and 7537?

Greatest common factor (GCF) of 7525 and 7537 is 1.

GCF(7525,7537) = 1

We will now calculate the prime factors of 7525 and 7537, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7525 and 7537.

How to find the GCF of 7525 and 7537?

We will first find the prime factorization of 7525 and 7537. After we will calculate the factors of 7525 and 7537 and find the biggest common factor number .

Step-1: Prime Factorization of 7525

Prime factors of 7525 are 5, 7, 43. Prime factorization of 7525 in exponential form is:

7525 = 5² × 7¹ × 43¹

Step-2: Prime Factorization of 7537

Prime factors of 7537 are 7537. Prime factorization of 7537 in exponential form is:

7537 = 7537¹

Step-3: Factors of 7525

List of positive integer factors of 7525 that divides 7525 without a remainder.

1, 5, 7, 25, 35, 43, 175, 215, 301, 1075, 1505

Step-4: Factors of 7537

List of positive integer factors of 7537 that divides 7525 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7525 and 7537. The biggest common factor number is the GCF number.
So the greatest common factor 7525 and 7537 is 1.

Also check out the Least Common Multiple of 7525 and 7537