What is the Greatest Common Factor of 36725 and 36743?

Greatest common factor (GCF) of 36725 and 36743 is 1.

GCF(36725,36743) = 1

We will now calculate the prime factors of 36725 and 36743, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36725 and 36743.

How to find the GCF of 36725 and 36743?

We will first find the prime factorization of 36725 and 36743. After we will calculate the factors of 36725 and 36743 and find the biggest common factor number .

Step-1: Prime Factorization of 36725

Prime factors of 36725 are 5, 13, 113. Prime factorization of 36725 in exponential form is:

36725 = 5² × 13¹ × 113¹

Step-2: Prime Factorization of 36743

Prime factors of 36743 are 7, 29, 181. Prime factorization of 36743 in exponential form is:

36743 = 7¹ × 29¹ × 181¹

Step-3: Factors of 36725

List of positive integer factors of 36725 that divides 36725 without a remainder.

1, 5, 13, 25, 65, 113, 325, 565, 1469, 2825, 7345

Step-4: Factors of 36743

List of positive integer factors of 36743 that divides 36725 without a remainder.

1, 7, 29, 181, 203, 1267, 5249

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36725 and 36743. The biggest common factor number is the GCF number.
So the greatest common factor 36725 and 36743 is 1.

Also check out the Least Common Multiple of 36725 and 36743