What is the Greatest Common Factor of 43648 and 43658?

Greatest common factor (GCF) of 43648 and 43658 is 2.

GCF(43648,43658) = 2

We will now calculate the prime factors of 43648 and 43658, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43648 and 43658.

How to find the GCF of 43648 and 43658?

We will first find the prime factorization of 43648 and 43658. After we will calculate the factors of 43648 and 43658 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 43658

Prime factors of 43658 are 2, 83, 263. Prime factorization of 43658 in exponential form is:

43658 = 2¹ × 83¹ × 263¹

Step-3: Factors of 43648

List of positive integer factors of 43648 that divides 43648 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

Step-4: Factors of 43658

List of positive integer factors of 43658 that divides 43648 without a remainder.

1, 2, 83, 166, 263, 526, 21829

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43648 and 43658. The biggest common factor number is the GCF number.
So the greatest common factor 43648 and 43658 is 2.

Also check out the Least Common Multiple of 43648 and 43658