What is the Greatest Common Factor of 45725 and 45737?

Greatest common factor (GCF) of 45725 and 45737 is 1.

GCF(45725,45737) = 1

We will now calculate the prime factors of 45725 and 45737, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45725 and 45737.

How to find the GCF of 45725 and 45737?

We will first find the prime factorization of 45725 and 45737. After we will calculate the factors of 45725 and 45737 and find the biggest common factor number .

Step-1: Prime Factorization of 45725

Prime factors of 45725 are 5, 31, 59. Prime factorization of 45725 in exponential form is:

45725 = 5² × 31¹ × 59¹

Step-2: Prime Factorization of 45737

Prime factors of 45737 are 45737. Prime factorization of 45737 in exponential form is:

45737 = 45737¹

Step-3: Factors of 45725

List of positive integer factors of 45725 that divides 45725 without a remainder.

1, 5, 25, 31, 59, 155, 295, 775, 1475, 1829, 9145

Step-4: Factors of 45737

List of positive integer factors of 45737 that divides 45725 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45725 and 45737. The biggest common factor number is the GCF number.
So the greatest common factor 45725 and 45737 is 1.

Also check out the Least Common Multiple of 45725 and 45737