What is the Greatest Common Factor of 39744 and 39749?

Greatest common factor (GCF) of 39744 and 39749 is 1.

GCF(39744,39749) = 1

We will now calculate the prime factors of 39744 and 39749, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39744 and 39749.

How to find the GCF of 39744 and 39749?

We will first find the prime factorization of 39744 and 39749. After we will calculate the factors of 39744 and 39749 and find the biggest common factor number .

Step-1: Prime Factorization of 39744

Prime factors of 39744 are 2, 3, 23. Prime factorization of 39744 in exponential form is:

39744 = 2⁶ × 3³ × 23¹

Step-2: Prime Factorization of 39749

Prime factors of 39749 are 39749. Prime factorization of 39749 in exponential form is:

39749 = 39749¹

Step-3: Factors of 39744

List of positive integer factors of 39744 that divides 39744 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 27, 32, 36, 46, 48, 54, 64, 69, 72, 92, 96, 108, 138, 144, 184, 192, 207, 216, 276, 288, 368, 414, 432, 552, 576, 621, 736, 828, 864, 1104, 1242, 1472, 1656, 1728, 2208, 2484, 3312, 4416, 4968, 6624, 9936, 13248, 19872

Step-4: Factors of 39749

List of positive integer factors of 39749 that divides 39744 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39744 and 39749. The biggest common factor number is the GCF number.
So the greatest common factor 39744 and 39749 is 1.

Also check out the Least Common Multiple of 39744 and 39749