What is the Greatest Common Factor of 46527 and 46540?

Greatest common factor (GCF) of 46527 and 46540 is 13.

GCF(46527,46540) = 13

We will now calculate the prime factors of 46527 and 46540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46527 and 46540.

How to find the GCF of 46527 and 46540?

We will first find the prime factorization of 46527 and 46540. After we will calculate the factors of 46527 and 46540 and find the biggest common factor number .

Step-1: Prime Factorization of 46527

Prime factors of 46527 are 3, 13, 1193. Prime factorization of 46527 in exponential form is:

46527 = 3¹ × 13¹ × 1193¹

Step-2: Prime Factorization of 46540

Prime factors of 46540 are 2, 5, 13, 179. Prime factorization of 46540 in exponential form is:

46540 = 2² × 5¹ × 13¹ × 179¹

Step-3: Factors of 46527

List of positive integer factors of 46527 that divides 46527 without a remainder.

1, 3, 13, 39, 1193, 3579, 15509

Step-4: Factors of 46540

List of positive integer factors of 46540 that divides 46527 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 179, 260, 358, 716, 895, 1790, 2327, 3580, 4654, 9308, 11635, 23270

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46527 and 46540. The biggest common factor number is the GCF number.
So the greatest common factor 46527 and 46540 is 13.

Also check out the Least Common Multiple of 46527 and 46540