What is the Greatest Common Factor of 39712 and 39723?

Greatest common factor (GCF) of 39712 and 39723 is 1.

GCF(39712,39723) = 1

We will now calculate the prime factors of 39712 and 39723, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39712 and 39723.

How to find the GCF of 39712 and 39723?

We will first find the prime factorization of 39712 and 39723. After we will calculate the factors of 39712 and 39723 and find the biggest common factor number .

Step-1: Prime Factorization of 39712

Prime factors of 39712 are 2, 17, 73. Prime factorization of 39712 in exponential form is:

39712 = 2⁵ × 17¹ × 73¹

Step-2: Prime Factorization of 39723

Prime factors of 39723 are 3, 13241. Prime factorization of 39723 in exponential form is:

39723 = 3¹ × 13241¹

Step-3: Factors of 39712

List of positive integer factors of 39712 that divides 39712 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 73, 136, 146, 272, 292, 544, 584, 1168, 1241, 2336, 2482, 4964, 9928, 19856

Step-4: Factors of 39723

List of positive integer factors of 39723 that divides 39712 without a remainder.

1, 3, 13241

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39712 and 39723. The biggest common factor number is the GCF number.
So the greatest common factor 39712 and 39723 is 1.

Also check out the Least Common Multiple of 39712 and 39723