What is the Greatest Common Factor of 72518 and 72525?

Greatest common factor (GCF) of 72518 and 72525 is 1.

GCF(72518,72525) = 1

We will now calculate the prime factors of 72518 and 72525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72518 and 72525.

How to find the GCF of 72518 and 72525?

We will first find the prime factorization of 72518 and 72525. After we will calculate the factors of 72518 and 72525 and find the biggest common factor number .

Step-1: Prime Factorization of 72518

Prime factors of 72518 are 2, 101, 359. Prime factorization of 72518 in exponential form is:

72518 = 2¹ × 101¹ × 359¹

Step-2: Prime Factorization of 72525

Prime factors of 72525 are 3, 5, 967. Prime factorization of 72525 in exponential form is:

72525 = 3¹ × 5² × 967¹

Step-3: Factors of 72518

List of positive integer factors of 72518 that divides 72518 without a remainder.

1, 2, 101, 202, 359, 718, 36259

Step-4: Factors of 72525

List of positive integer factors of 72525 that divides 72518 without a remainder.

1, 3, 5, 15, 25, 75, 967, 2901, 4835, 14505, 24175

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72518 and 72525. The biggest common factor number is the GCF number.
So the greatest common factor 72518 and 72525 is 1.

Also check out the Least Common Multiple of 72518 and 72525