What is the Greatest Common Factor of 45457 and 45475?

Greatest common factor (GCF) of 45457 and 45475 is 1.

GCF(45457,45475) = 1

We will now calculate the prime factors of 45457 and 45475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45457 and 45475.

How to find the GCF of 45457 and 45475?

We will first find the prime factorization of 45457 and 45475. After we will calculate the factors of 45457 and 45475 and find the biggest common factor number .

Step-1: Prime Factorization of 45457

Prime factors of 45457 are 131, 347. Prime factorization of 45457 in exponential form is:

45457 = 131¹ × 347¹

Step-2: Prime Factorization of 45475

Prime factors of 45475 are 5, 17, 107. Prime factorization of 45475 in exponential form is:

45475 = 5² × 17¹ × 107¹

Step-3: Factors of 45457

List of positive integer factors of 45457 that divides 45457 without a remainder.

1, 131, 347

Step-4: Factors of 45475

List of positive integer factors of 45475 that divides 45457 without a remainder.

1, 5, 17, 25, 85, 107, 425, 535, 1819, 2675, 9095

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45457 and 45475. The biggest common factor number is the GCF number.
So the greatest common factor 45457 and 45475 is 1.

Also check out the Least Common Multiple of 45457 and 45475