What is the Greatest Common Factor of 46540 and 46553?

Greatest common factor (GCF) of 46540 and 46553 is 13.

GCF(46540,46553) = 13

We will now calculate the prime factors of 46540 and 46553, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46540 and 46553.

How to find the GCF of 46540 and 46553?

We will first find the prime factorization of 46540 and 46553. After we will calculate the factors of 46540 and 46553 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46553

Prime factors of 46553 are 13, 3581. Prime factorization of 46553 in exponential form is:

46553 = 13¹ × 3581¹

Step-3: Factors of 46540

List of positive integer factors of 46540 that divides 46540 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

Step-4: Factors of 46553

List of positive integer factors of 46553 that divides 46540 without a remainder.

1, 13, 3581

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46540 and 46553. The biggest common factor number is the GCF number.
So the greatest common factor 46540 and 46553 is 13.

Also check out the Least Common Multiple of 46540 and 46553