What is the Greatest Common Factor of 39676 and 39689?

Greatest common factor (GCF) of 39676 and 39689 is 13.

GCF(39676,39689) = 13

We will now calculate the prime factors of 39676 and 39689, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39676 and 39689.

How to find the GCF of 39676 and 39689?

We will first find the prime factorization of 39676 and 39689. After we will calculate the factors of 39676 and 39689 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 39689

Prime factors of 39689 are 13, 43, 71. Prime factorization of 39689 in exponential form is:

39689 = 13¹ × 43¹ × 71¹

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 39689

List of positive integer factors of 39689 that divides 39676 without a remainder.

1, 13, 43, 71, 559, 923, 3053

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39676 and 39689. The biggest common factor number is the GCF number.
So the greatest common factor 39676 and 39689 is 13.

Also check out the Least Common Multiple of 39676 and 39689