What is the Greatest Common Factor of 46275 and 46281?

Greatest common factor (GCF) of 46275 and 46281 is 3.

GCF(46275,46281) = 3

We will now calculate the prime factors of 46275 and 46281, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46275 and 46281.

How to find the GCF of 46275 and 46281?

We will first find the prime factorization of 46275 and 46281. After we will calculate the factors of 46275 and 46281 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46281

Prime factors of 46281 are 3, 15427. Prime factorization of 46281 in exponential form is:

46281 = 3¹ × 15427¹

Step-3: Factors of 46275

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

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

Step-4: Factors of 46281

List of positive integer factors of 46281 that divides 46275 without a remainder.

1, 3, 15427

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46275 and 46281. The biggest common factor number is the GCF number.
So the greatest common factor 46275 and 46281 is 3.

Also check out the Least Common Multiple of 46275 and 46281