What is the Greatest Common Factor of 43354 and 43360?

Greatest common factor (GCF) of 43354 and 43360 is 2.

GCF(43354,43360) = 2

We will now calculate the prime factors of 43354 and 43360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43354 and 43360.

How to find the GCF of 43354 and 43360?

We will first find the prime factorization of 43354 and 43360. After we will calculate the factors of 43354 and 43360 and find the biggest common factor number .

Step-1: Prime Factorization of 43354

Prime factors of 43354 are 2, 53, 409. Prime factorization of 43354 in exponential form is:

43354 = 2¹ × 53¹ × 409¹

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 43354

List of positive integer factors of 43354 that divides 43354 without a remainder.

1, 2, 53, 106, 409, 818, 21677

Step-4: Factors of 43360

List of positive integer factors of 43360 that divides 43354 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 43354 and 43360. The biggest common factor number is the GCF number.
So the greatest common factor 43354 and 43360 is 2.

Also check out the Least Common Multiple of 43354 and 43360