What is the Greatest Common Factor of 45457 and 45463?

Greatest common factor (GCF) of 45457 and 45463 is 1.

GCF(45457,45463) = 1

We will now calculate the prime factors of 45457 and 45463, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45457 and 45463.

How to find the GCF of 45457 and 45463?

We will first find the prime factorization of 45457 and 45463. After we will calculate the factors of 45457 and 45463 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 45463

Prime factors of 45463 are 11, 4133. Prime factorization of 45463 in exponential form is:

45463 = 11¹ × 4133¹

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 45463

List of positive integer factors of 45463 that divides 45457 without a remainder.

1, 11, 4133

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45457 and 45463. The biggest common factor number is the GCF number.
So the greatest common factor 45457 and 45463 is 1.

Also check out the Least Common Multiple of 45457 and 45463