What is the Greatest Common Factor of 43602 and 43615?

Greatest common factor (GCF) of 43602 and 43615 is 13.

GCF(43602,43615) = 13

We will now calculate the prime factors of 43602 and 43615, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43602 and 43615.

How to find the GCF of 43602 and 43615?

We will first find the prime factorization of 43602 and 43615. After we will calculate the factors of 43602 and 43615 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 43615

Prime factors of 43615 are 5, 11, 13, 61. Prime factorization of 43615 in exponential form is:

43615 = 5¹ × 11¹ × 13¹ × 61¹

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 43615

List of positive integer factors of 43615 that divides 43602 without a remainder.

1, 5, 11, 13, 55, 61, 65, 143, 305, 671, 715, 793, 3355, 3965, 8723

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43602 and 43615. The biggest common factor number is the GCF number.
So the greatest common factor 43602 and 43615 is 13.

Also check out the Least Common Multiple of 43602 and 43615