What is the Greatest Common Factor of 39676 and 39683?

Greatest common factor (GCF) of 39676 and 39683 is 7.

GCF(39676,39683) = 7

We will now calculate the prime factors of 39676 and 39683, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39676 and 39683.

How to find the GCF of 39676 and 39683?

We will first find the prime factorization of 39676 and 39683. After we will calculate the factors of 39676 and 39683 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 39683

Prime factors of 39683 are 7, 5669. Prime factorization of 39683 in exponential form is:

39683 = 7¹ × 5669¹

Step-3: Factors of 39676

List of positive integer factors of 39676 that divides 39676 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

Step-4: Factors of 39683

List of positive integer factors of 39683 that divides 39676 without a remainder.

1, 7, 5669

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39676 and 39683. The biggest common factor number is the GCF number.
So the greatest common factor 39676 and 39683 is 7.

Also check out the Least Common Multiple of 39676 and 39683