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What is the Greatest Common Factor of 43360 and 43375?

Greatest common factor (GCF) of 43360 and 43375 is 5.

GCF(43360,43375) = 5

We will now calculate the prime factors of 43360 and 43375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43360 and 43375.

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How to find the GCF of 43360 and 43375?

We will first find the prime factorization of 43360 and 43375. After we will calculate the factors of 43360 and 43375 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 43375

Prime factors of 43375 are 5, 347. Prime factorization of 43375 in exponential form is:

43375 = 53 × 3471

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 43375

List of positive integer factors of 43375 that divides 43360 without a remainder.

1, 5, 25, 125, 347, 1735, 8675

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43360 and 43375. The biggest common factor number is the GCF number.
So the greatest common factor 43360 and 43375 is 5.

Also check out the Least Common Multiple of 43360 and 43375