What is the Greatest Common Factor of 39536 and 39548?

Greatest common factor (GCF) of 39536 and 39548 is 4.

GCF(39536,39548) = 4

We will now calculate the prime factors of 39536 and 39548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39536 and 39548.

How to find the GCF of 39536 and 39548?

We will first find the prime factorization of 39536 and 39548. After we will calculate the factors of 39536 and 39548 and find the biggest common factor number .

Step-1: Prime Factorization of 39536

Prime factors of 39536 are 2, 7, 353. Prime factorization of 39536 in exponential form is:

39536 = 2⁴ × 7¹ × 353¹

Step-2: Prime Factorization of 39548

Prime factors of 39548 are 2, 9887. Prime factorization of 39548 in exponential form is:

39548 = 2² × 9887¹

Step-3: Factors of 39536

List of positive integer factors of 39536 that divides 39536 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 353, 706, 1412, 2471, 2824, 4942, 5648, 9884, 19768

Step-4: Factors of 39548

List of positive integer factors of 39548 that divides 39536 without a remainder.

1, 2, 4, 9887, 19774

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39536 and 39548. The biggest common factor number is the GCF number.
So the greatest common factor 39536 and 39548 is 4.

Also check out the Least Common Multiple of 39536 and 39548