What is the Greatest Common Factor of 46257 and 46275?

Greatest common factor (GCF) of 46257 and 46275 is 3.

GCF(46257,46275) = 3

We will now calculate the prime factors of 46257 and 46275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46257 and 46275.

How to find the GCF of 46257 and 46275?

We will first find the prime factorization of 46257 and 46275. After we will calculate the factors of 46257 and 46275 and find the biggest common factor number .

Step-1: Prime Factorization of 46257

Prime factors of 46257 are 3, 17, 907. Prime factorization of 46257 in exponential form is:

46257 = 3¹ × 17¹ × 907¹

Step-2: Prime Factorization of 46275

Prime factors of 46275 are 3, 5, 617. Prime factorization of 46275 in exponential form is:

46275 = 3¹ × 5² × 617¹

Step-3: Factors of 46257

List of positive integer factors of 46257 that divides 46257 without a remainder.

1, 3, 17, 51, 907, 2721, 15419

Step-4: Factors of 46275

List of positive integer factors of 46275 that divides 46257 without a remainder.

1, 3, 5, 15, 25, 75, 617, 1851, 3085, 9255, 15425

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46257 and 46275. The biggest common factor number is the GCF number.
So the greatest common factor 46257 and 46275 is 3.

Also check out the Least Common Multiple of 46257 and 46275