What is the Greatest Common Factor of 39748 and 39768?

Greatest common factor (GCF) of 39748 and 39768 is 4.

GCF(39748,39768) = 4

We will now calculate the prime factors of 39748 and 39768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39748 and 39768.

How to find the GCF of 39748 and 39768?

We will first find the prime factorization of 39748 and 39768. After we will calculate the factors of 39748 and 39768 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 39768

Prime factors of 39768 are 2, 3, 1657. Prime factorization of 39768 in exponential form is:

39768 = 2³ × 3¹ × 1657¹

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 39768

List of positive integer factors of 39768 that divides 39748 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1657, 3314, 4971, 6628, 9942, 13256, 19884

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39748 and 39768. The biggest common factor number is the GCF number.
So the greatest common factor 39748 and 39768 is 4.

Also check out the Least Common Multiple of 39748 and 39768