What is the Greatest Common Factor of 43453 and 43472?

Greatest common factor (GCF) of 43453 and 43472 is 19.

GCF(43453,43472) = 19

We will now calculate the prime factors of 43453 and 43472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43453 and 43472.

How to find the GCF of 43453 and 43472?

We will first find the prime factorization of 43453 and 43472. After we will calculate the factors of 43453 and 43472 and find the biggest common factor number .

Step-1: Prime Factorization of 43453

Prime factors of 43453 are 19, 2287. Prime factorization of 43453 in exponential form is:

43453 = 19¹ × 2287¹

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 43453

List of positive integer factors of 43453 that divides 43453 without a remainder.

1, 19, 2287

Step-4: Factors of 43472

List of positive integer factors of 43472 that divides 43453 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 43453 and 43472. The biggest common factor number is the GCF number.
So the greatest common factor 43453 and 43472 is 19.

Also check out the Least Common Multiple of 43453 and 43472