What is the Greatest Common Factor of 43472 and 43480?

Greatest common factor (GCF) of 43472 and 43480 is 8.

GCF(43472,43480) = 8

We will now calculate the prime factors of 43472 and 43480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43472 and 43480.

How to find the GCF of 43472 and 43480?

We will first find the prime factorization of 43472 and 43480. After we will calculate the factors of 43472 and 43480 and find the biggest common factor number .

Step-1: Prime Factorization of 43472

Prime factors of 43472 are 2, 11, 13, 19. Prime factorization of 43472 in exponential form is:

43472 = 2⁴ × 11¹ × 13¹ × 19¹

Step-2: Prime Factorization of 43480

Prime factors of 43480 are 2, 5, 1087. Prime factorization of 43480 in exponential form is:

43480 = 2³ × 5¹ × 1087¹

Step-3: Factors of 43472

List of positive integer factors of 43472 that divides 43472 without a remainder.

1, 2, 4, 8, 11, 13, 16, 19, 22, 26, 38, 44, 52, 76, 88, 104, 143, 152, 176, 208, 209, 247, 286, 304, 418, 494, 572, 836, 988, 1144, 1672, 1976, 2288, 2717, 3344, 3952, 5434, 10868, 21736

Step-4: Factors of 43480

List of positive integer factors of 43480 that divides 43472 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1087, 2174, 4348, 5435, 8696, 10870, 21740

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43472 and 43480. The biggest common factor number is the GCF number.
So the greatest common factor 43472 and 43480 is 8.

Also check out the Least Common Multiple of 43472 and 43480