What is the Greatest Common Factor of 43464 and 43472?

Greatest common factor (GCF) of 43464 and 43472 is 8.

GCF(43464,43472) = 8

We will now calculate the prime factors of 43464 and 43472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43464 and 43472.

How to find the GCF of 43464 and 43472?

We will first find the prime factorization of 43464 and 43472. After we will calculate the factors of 43464 and 43472 and find the biggest common factor number .

Step-1: Prime Factorization of 43464

Prime factors of 43464 are 2, 3, 1811. Prime factorization of 43464 in exponential form is:

43464 = 2³ × 3¹ × 1811¹

Step-2: 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-3: Factors of 43464

List of positive integer factors of 43464 that divides 43464 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1811, 3622, 5433, 7244, 10866, 14488, 21732

Step-4: Factors of 43472

List of positive integer factors of 43472 that divides 43464 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43464 and 43472. The biggest common factor number is the GCF number.
So the greatest common factor 43464 and 43472 is 8.

Also check out the Least Common Multiple of 43464 and 43472