What is the Greatest Common Factor of 39663 and 39676?

Greatest common factor (GCF) of 39663 and 39676 is 13.

GCF(39663,39676) = 13

We will now calculate the prime factors of 39663 and 39676, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39663 and 39676.

How to find the GCF of 39663 and 39676?

We will first find the prime factorization of 39663 and 39676. After we will calculate the factors of 39663 and 39676 and find the biggest common factor number .

Step-1: Prime Factorization of 39663

Prime factors of 39663 are 3, 13, 113. Prime factorization of 39663 in exponential form is:

39663 = 3³ × 13¹ × 113¹

Step-2: Prime Factorization of 39676

Prime factors of 39676 are 2, 7, 13, 109. Prime factorization of 39676 in exponential form is:

39676 = 2² × 7¹ × 13¹ × 109¹

Step-3: Factors of 39663

List of positive integer factors of 39663 that divides 39663 without a remainder.

1, 3, 9, 13, 27, 39, 113, 117, 339, 351, 1017, 1469, 3051, 4407, 13221

Step-4: Factors of 39676

List of positive integer factors of 39676 that divides 39663 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 109, 182, 218, 364, 436, 763, 1417, 1526, 2834, 3052, 5668, 9919, 19838

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39663 and 39676. The biggest common factor number is the GCF number.
So the greatest common factor 39663 and 39676 is 13.

Also check out the Least Common Multiple of 39663 and 39676