What is the Greatest Common Factor of 43457 and 43464?

Greatest common factor (GCF) of 43457 and 43464 is 1.

GCF(43457,43464) = 1

We will now calculate the prime factors of 43457 and 43464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43457 and 43464.

How to find the GCF of 43457 and 43464?

We will first find the prime factorization of 43457 and 43464. After we will calculate the factors of 43457 and 43464 and find the biggest common factor number .

Step-1: Prime Factorization of 43457

Prime factors of 43457 are 43457. Prime factorization of 43457 in exponential form is:

43457 = 43457¹

Step-2: 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-3: Factors of 43457

List of positive integer factors of 43457 that divides 43457 without a remainder.

Step-4: Factors of 43464

List of positive integer factors of 43464 that divides 43457 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43457 and 43464. The biggest common factor number is the GCF number.
So the greatest common factor 43457 and 43464 is 1.

Also check out the Least Common Multiple of 43457 and 43464