What is the Greatest Common Factor of 43602 and 43616?

Greatest common factor (GCF) of 43602 and 43616 is 2.

GCF(43602,43616) = 2

We will now calculate the prime factors of 43602 and 43616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43602 and 43616.

How to find the GCF of 43602 and 43616?

We will first find the prime factorization of 43602 and 43616. After we will calculate the factors of 43602 and 43616 and find the biggest common factor number .

Step-1: Prime Factorization of 43602

Prime factors of 43602 are 2, 3, 13, 43. Prime factorization of 43602 in exponential form is:

43602 = 2¹ × 3¹ × 13² × 43¹

Step-2: Prime Factorization of 43616

Prime factors of 43616 are 2, 29, 47. Prime factorization of 43616 in exponential form is:

43616 = 2⁵ × 29¹ × 47¹

Step-3: Factors of 43602

List of positive integer factors of 43602 that divides 43602 without a remainder.

1, 2, 3, 6, 13, 26, 39, 43, 78, 86, 129, 169, 258, 338, 507, 559, 1014, 1118, 1677, 3354, 7267, 14534, 21801

Step-4: Factors of 43616

List of positive integer factors of 43616 that divides 43602 without a remainder.

1, 2, 4, 8, 16, 29, 32, 47, 58, 94, 116, 188, 232, 376, 464, 752, 928, 1363, 1504, 2726, 5452, 10904, 21808

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43602 and 43616. The biggest common factor number is the GCF number.
So the greatest common factor 43602 and 43616 is 2.

Also check out the Least Common Multiple of 43602 and 43616