What is the Greatest Common Factor of 43360 and 43380?

Greatest common factor (GCF) of 43360 and 43380 is 20.

GCF(43360,43380) = 20

We will now calculate the prime factors of 43360 and 43380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43360 and 43380.

How to find the GCF of 43360 and 43380?

We will first find the prime factorization of 43360 and 43380. After we will calculate the factors of 43360 and 43380 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 43380

Prime factors of 43380 are 2, 3, 5, 241. Prime factorization of 43380 in exponential form is:

43380 = 2² × 3² × 5¹ × 241¹

Step-3: Factors of 43360

List of positive integer factors of 43360 that divides 43360 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

Step-4: Factors of 43380

List of positive integer factors of 43380 that divides 43360 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 241, 482, 723, 964, 1205, 1446, 2169, 2410, 2892, 3615, 4338, 4820, 7230, 8676, 10845, 14460, 21690

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43360 and 43380. The biggest common factor number is the GCF number.
So the greatest common factor 43360 and 43380 is 20.

Also check out the Least Common Multiple of 43360 and 43380