What is the Greatest Common Factor of 43628 and 43648?

Greatest common factor (GCF) of 43628 and 43648 is 4.

GCF(43628,43648) = 4

We will now calculate the prime factors of 43628 and 43648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43628 and 43648.

How to find the GCF of 43628 and 43648?

We will first find the prime factorization of 43628 and 43648. After we will calculate the factors of 43628 and 43648 and find the biggest common factor number .

Step-1: Prime Factorization of 43628

Prime factors of 43628 are 2, 13, 839. Prime factorization of 43628 in exponential form is:

43628 = 2² × 13¹ × 839¹

Step-2: Prime Factorization of 43648

Prime factors of 43648 are 2, 11, 31. Prime factorization of 43648 in exponential form is:

43648 = 2⁷ × 11¹ × 31¹

Step-3: Factors of 43628

List of positive integer factors of 43628 that divides 43628 without a remainder.

1, 2, 4, 13, 26, 52, 839, 1678, 3356, 10907, 21814

Step-4: Factors of 43648

List of positive integer factors of 43648 that divides 43628 without a remainder.

1, 2, 4, 8, 11, 16, 22, 31, 32, 44, 62, 64, 88, 124, 128, 176, 248, 341, 352, 496, 682, 704, 992, 1364, 1408, 1984, 2728, 3968, 5456, 10912, 21824

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43628 and 43648. The biggest common factor number is the GCF number.
So the greatest common factor 43628 and 43648 is 4.

Also check out the Least Common Multiple of 43628 and 43648