What is the Greatest Common Factor of 39946 and 39952?

Greatest common factor (GCF) of 39946 and 39952 is 2.

GCF(39946,39952) = 2

We will now calculate the prime factors of 39946 and 39952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39946 and 39952.

How to find the GCF of 39946 and 39952?

We will first find the prime factorization of 39946 and 39952. After we will calculate the factors of 39946 and 39952 and find the biggest common factor number .

Step-1: Prime Factorization of 39946

Prime factors of 39946 are 2, 19973. Prime factorization of 39946 in exponential form is:

39946 = 2¹ × 19973¹

Step-2: Prime Factorization of 39952

Prime factors of 39952 are 2, 11, 227. Prime factorization of 39952 in exponential form is:

39952 = 2⁴ × 11¹ × 227¹

Step-3: Factors of 39946

List of positive integer factors of 39946 that divides 39946 without a remainder.

1, 2, 19973

Step-4: Factors of 39952

List of positive integer factors of 39952 that divides 39946 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 227, 454, 908, 1816, 2497, 3632, 4994, 9988, 19976

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39946 and 39952. The biggest common factor number is the GCF number.
So the greatest common factor 39946 and 39952 is 2.

Also check out the Least Common Multiple of 39946 and 39952