What is the Greatest Common Factor of 7514 and 7525?

Greatest common factor (GCF) of 7514 and 7525 is 1.

GCF(7514,7525) = 1

We will now calculate the prime factors of 7514 and 7525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7514 and 7525.

How to find the GCF of 7514 and 7525?

We will first find the prime factorization of 7514 and 7525. After we will calculate the factors of 7514 and 7525 and find the biggest common factor number .

Step-1: Prime Factorization of 7514

Prime factors of 7514 are 2, 13, 17. Prime factorization of 7514 in exponential form is:

7514 = 2¹ × 13¹ × 17²

Step-2: 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-3: Factors of 7514

List of positive integer factors of 7514 that divides 7514 without a remainder.

1, 2, 13, 17, 26, 34, 221, 289, 442, 578, 3757

Step-4: Factors of 7525

List of positive integer factors of 7525 that divides 7514 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7514 and 7525. The biggest common factor number is the GCF number.
So the greatest common factor 7514 and 7525 is 1.

Also check out the Least Common Multiple of 7514 and 7525