What is the Greatest Common Factor of 46540 and 46556?

Greatest common factor (GCF) of 46540 and 46556 is 4.

GCF(46540,46556) = 4

We will now calculate the prime factors of 46540 and 46556, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46540 and 46556.

How to find the GCF of 46540 and 46556?

We will first find the prime factorization of 46540 and 46556. After we will calculate the factors of 46540 and 46556 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 46556

Prime factors of 46556 are 2, 103, 113. Prime factorization of 46556 in exponential form is:

46556 = 2² × 103¹ × 113¹

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 46556

List of positive integer factors of 46556 that divides 46540 without a remainder.

1, 2, 4, 103, 113, 206, 226, 412, 452, 11639, 23278

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46540 and 46556. The biggest common factor number is the GCF number.
So the greatest common factor 46540 and 46556 is 4.

Also check out the Least Common Multiple of 46540 and 46556