What is the Greatest Common Factor of 39672 and 39691?

Greatest common factor (GCF) of 39672 and 39691 is 19.

GCF(39672,39691) = 19

We will now calculate the prime factors of 39672 and 39691, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39672 and 39691.

How to find the GCF of 39672 and 39691?

We will first find the prime factorization of 39672 and 39691. After we will calculate the factors of 39672 and 39691 and find the biggest common factor number .

Step-1: Prime Factorization of 39672

Prime factors of 39672 are 2, 3, 19, 29. Prime factorization of 39672 in exponential form is:

39672 = 2³ × 3² × 19¹ × 29¹

Step-2: Prime Factorization of 39691

Prime factors of 39691 are 19, 2089. Prime factorization of 39691 in exponential form is:

39691 = 19¹ × 2089¹

Step-3: Factors of 39672

List of positive integer factors of 39672 that divides 39672 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 29, 36, 38, 57, 58, 72, 76, 87, 114, 116, 152, 171, 174, 228, 232, 261, 342, 348, 456, 522, 551, 684, 696, 1044, 1102, 1368, 1653, 2088, 2204, 3306, 4408, 4959, 6612, 9918, 13224, 19836

Step-4: Factors of 39691

List of positive integer factors of 39691 that divides 39672 without a remainder.

1, 19, 2089

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39672 and 39691. The biggest common factor number is the GCF number.
So the greatest common factor 39672 and 39691 is 19.

Also check out the Least Common Multiple of 39672 and 39691