What is the Greatest Common Factor of 39748 and 39763?

Greatest common factor (GCF) of 39748 and 39763 is 1.

GCF(39748,39763) = 1

We will now calculate the prime factors of 39748 and 39763, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39748 and 39763.

How to find the GCF of 39748 and 39763?

We will first find the prime factorization of 39748 and 39763. After we will calculate the factors of 39748 and 39763 and find the biggest common factor number .

Step-1: Prime Factorization of 39748

Prime factors of 39748 are 2, 19, 523. Prime factorization of 39748 in exponential form is:

39748 = 2² × 19¹ × 523¹

Step-2: Prime Factorization of 39763

Prime factors of 39763 are 17, 2339. Prime factorization of 39763 in exponential form is:

39763 = 17¹ × 2339¹

Step-3: Factors of 39748

List of positive integer factors of 39748 that divides 39748 without a remainder.

1, 2, 4, 19, 38, 76, 523, 1046, 2092, 9937, 19874

Step-4: Factors of 39763

List of positive integer factors of 39763 that divides 39748 without a remainder.

1, 17, 2339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39748 and 39763. The biggest common factor number is the GCF number.
So the greatest common factor 39748 and 39763 is 1.

Also check out the Least Common Multiple of 39748 and 39763