What is the Greatest Common Factor of 43356 and 43360?

Greatest common factor (GCF) of 43356 and 43360 is 4.

GCF(43356,43360) = 4

We will now calculate the prime factors of 43356 and 43360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43356 and 43360.

How to find the GCF of 43356 and 43360?

We will first find the prime factorization of 43356 and 43360. After we will calculate the factors of 43356 and 43360 and find the biggest common factor number .

Step-1: Prime Factorization of 43356

Prime factors of 43356 are 2, 3, 3613. Prime factorization of 43356 in exponential form is:

43356 = 2² × 3¹ × 3613¹

Step-2: Prime Factorization of 43360

Prime factors of 43360 are 2, 5, 271. Prime factorization of 43360 in exponential form is:

43360 = 2⁵ × 5¹ × 271¹

Step-3: Factors of 43356

List of positive integer factors of 43356 that divides 43356 without a remainder.

1, 2, 3, 4, 6, 12, 3613, 7226, 10839, 14452, 21678

Step-4: Factors of 43360

List of positive integer factors of 43360 that divides 43356 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 271, 542, 1084, 1355, 2168, 2710, 4336, 5420, 8672, 10840, 21680

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43356 and 43360. The biggest common factor number is the GCF number.
So the greatest common factor 43356 and 43360 is 4.

Also check out the Least Common Multiple of 43356 and 43360