What is the Greatest Common Factor of 45709 and 45725?

Greatest common factor (GCF) of 45709 and 45725 is 1.

GCF(45709,45725) = 1

We will now calculate the prime factors of 45709 and 45725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45709 and 45725.

How to find the GCF of 45709 and 45725?

We will first find the prime factorization of 45709 and 45725. After we will calculate the factors of 45709 and 45725 and find the biggest common factor number .

Step-1: Prime Factorization of 45709

Prime factors of 45709 are 43, 1063. Prime factorization of 45709 in exponential form is:

45709 = 43¹ × 1063¹

Step-2: 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-3: Factors of 45709

List of positive integer factors of 45709 that divides 45709 without a remainder.

1, 43, 1063

Step-4: Factors of 45725

List of positive integer factors of 45725 that divides 45709 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45709 and 45725. The biggest common factor number is the GCF number.
So the greatest common factor 45709 and 45725 is 1.

Also check out the Least Common Multiple of 45709 and 45725