What is the Greatest Common Factor of 43340 and 43360?

Greatest common factor (GCF) of 43340 and 43360 is 20.

GCF(43340,43360) = 20

We will now calculate the prime factors of 43340 and 43360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43340 and 43360.

How to find the GCF of 43340 and 43360?

We will first find the prime factorization of 43340 and 43360. After we will calculate the factors of 43340 and 43360 and find the biggest common factor number .

Step-1: Prime Factorization of 43340

Prime factors of 43340 are 2, 5, 11, 197. Prime factorization of 43340 in exponential form is:

43340 = 2² × 5¹ × 11¹ × 197¹

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 43340

List of positive integer factors of 43340 that divides 43340 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 197, 220, 394, 788, 985, 1970, 2167, 3940, 4334, 8668, 10835, 21670

Step-4: Factors of 43360

List of positive integer factors of 43360 that divides 43340 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 43340 and 43360. The biggest common factor number is the GCF number.
So the greatest common factor 43340 and 43360 is 20.

Also check out the Least Common Multiple of 43340 and 43360