What is the Greatest Common Factor of 39653 and 39672?

Greatest common factor (GCF) of 39653 and 39672 is 19.

GCF(39653,39672) = 19

We will now calculate the prime factors of 39653 and 39672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39653 and 39672.

How to find the GCF of 39653 and 39672?

We will first find the prime factorization of 39653 and 39672. After we will calculate the factors of 39653 and 39672 and find the biggest common factor number .

Step-1: Prime Factorization of 39653

Prime factors of 39653 are 19, 2087. Prime factorization of 39653 in exponential form is:

39653 = 19¹ × 2087¹

Step-2: 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-3: Factors of 39653

List of positive integer factors of 39653 that divides 39653 without a remainder.

1, 19, 2087

Step-4: Factors of 39672

List of positive integer factors of 39672 that divides 39653 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39653 and 39672. The biggest common factor number is the GCF number.
So the greatest common factor 39653 and 39672 is 19.

Also check out the Least Common Multiple of 39653 and 39672