What is the Greatest Common Factor of 46457 and 46475?

Greatest common factor (GCF) of 46457 and 46475 is 1.

GCF(46457,46475) = 1

We will now calculate the prime factors of 46457 and 46475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46457 and 46475.

How to find the GCF of 46457 and 46475?

We will first find the prime factorization of 46457 and 46475. After we will calculate the factors of 46457 and 46475 and find the biggest common factor number .

Step-1: Prime Factorization of 46457

Prime factors of 46457 are 46457. Prime factorization of 46457 in exponential form is:

46457 = 46457¹

Step-2: Prime Factorization of 46475

Prime factors of 46475 are 5, 11, 13. Prime factorization of 46475 in exponential form is:

46475 = 5² × 11¹ × 13²

Step-3: Factors of 46457

List of positive integer factors of 46457 that divides 46457 without a remainder.

Step-4: Factors of 46475

List of positive integer factors of 46475 that divides 46457 without a remainder.

1, 5, 11, 13, 25, 55, 65, 143, 169, 275, 325, 715, 845, 1859, 3575, 4225, 9295

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46457 and 46475. The biggest common factor number is the GCF number.
So the greatest common factor 46457 and 46475 is 1.

Also check out the Least Common Multiple of 46457 and 46475