What is the Greatest Common Factor of 43424 and 43436?

Greatest common factor (GCF) of 43424 and 43436 is 4.

GCF(43424,43436) = 4

We will now calculate the prime factors of 43424 and 43436, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43424 and 43436.

How to find the GCF of 43424 and 43436?

We will first find the prime factorization of 43424 and 43436. After we will calculate the factors of 43424 and 43436 and find the biggest common factor number .

Step-1: Prime Factorization of 43424

Prime factors of 43424 are 2, 23, 59. Prime factorization of 43424 in exponential form is:

43424 = 2⁵ × 23¹ × 59¹

Step-2: Prime Factorization of 43436

Prime factors of 43436 are 2, 10859. Prime factorization of 43436 in exponential form is:

43436 = 2² × 10859¹

Step-3: Factors of 43424

List of positive integer factors of 43424 that divides 43424 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 59, 92, 118, 184, 236, 368, 472, 736, 944, 1357, 1888, 2714, 5428, 10856, 21712

Step-4: Factors of 43436

List of positive integer factors of 43436 that divides 43424 without a remainder.

1, 2, 4, 10859, 21718

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43424 and 43436. The biggest common factor number is the GCF number.
So the greatest common factor 43424 and 43436 is 4.

Also check out the Least Common Multiple of 43424 and 43436