What is the Greatest Common Factor of 43624 and 43644?

Greatest common factor (GCF) of 43624 and 43644 is 4.

GCF(43624,43644) = 4

We will now calculate the prime factors of 43624 and 43644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43624 and 43644.

How to find the GCF of 43624 and 43644?

We will first find the prime factorization of 43624 and 43644. After we will calculate the factors of 43624 and 43644 and find the biggest common factor number .

Step-1: Prime Factorization of 43624

Prime factors of 43624 are 2, 7, 19, 41. Prime factorization of 43624 in exponential form is:

43624 = 2³ × 7¹ × 19¹ × 41¹

Step-2: Prime Factorization of 43644

Prime factors of 43644 are 2, 3, 3637. Prime factorization of 43644 in exponential form is:

43644 = 2² × 3¹ × 3637¹

Step-3: Factors of 43624

List of positive integer factors of 43624 that divides 43624 without a remainder.

1, 2, 4, 7, 8, 14, 19, 28, 38, 41, 56, 76, 82, 133, 152, 164, 266, 287, 328, 532, 574, 779, 1064, 1148, 1558, 2296, 3116, 5453, 6232, 10906, 21812

Step-4: Factors of 43644

List of positive integer factors of 43644 that divides 43624 without a remainder.

1, 2, 3, 4, 6, 12, 3637, 7274, 10911, 14548, 21822

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43624 and 43644. The biggest common factor number is the GCF number.
So the greatest common factor 43624 and 43644 is 4.

Also check out the Least Common Multiple of 43624 and 43644