What is the Greatest Common Factor of 43514 and 43525?

Greatest common factor (GCF) of 43514 and 43525 is 1.

GCF(43514,43525) = 1

We will now calculate the prime factors of 43514 and 43525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43514 and 43525.

How to find the GCF of 43514 and 43525?

We will first find the prime factorization of 43514 and 43525. After we will calculate the factors of 43514 and 43525 and find the biggest common factor number .

Step-1: Prime Factorization of 43514

Prime factors of 43514 are 2, 21757. Prime factorization of 43514 in exponential form is:

43514 = 2¹ × 21757¹

Step-2: Prime Factorization of 43525

Prime factors of 43525 are 5, 1741. Prime factorization of 43525 in exponential form is:

43525 = 5² × 1741¹

Step-3: Factors of 43514

List of positive integer factors of 43514 that divides 43514 without a remainder.

1, 2, 21757

Step-4: Factors of 43525

List of positive integer factors of 43525 that divides 43514 without a remainder.

1, 5, 25, 1741, 8705

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43514 and 43525. The biggest common factor number is the GCF number.
So the greatest common factor 43514 and 43525 is 1.

Also check out the Least Common Multiple of 43514 and 43525