What is the Greatest Common Factor of 39944 and 39962?

Greatest common factor (GCF) of 39944 and 39962 is 2.

GCF(39944,39962) = 2

We will now calculate the prime factors of 39944 and 39962, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39944 and 39962.

How to find the GCF of 39944 and 39962?

We will first find the prime factorization of 39944 and 39962. After we will calculate the factors of 39944 and 39962 and find the biggest common factor number .

Step-1: Prime Factorization of 39944

Prime factors of 39944 are 2, 4993. Prime factorization of 39944 in exponential form is:

39944 = 2³ × 4993¹

Step-2: Prime Factorization of 39962

Prime factors of 39962 are 2, 13, 29, 53. Prime factorization of 39962 in exponential form is:

39962 = 2¹ × 13¹ × 29¹ × 53¹

Step-3: Factors of 39944

List of positive integer factors of 39944 that divides 39944 without a remainder.

1, 2, 4, 8, 4993, 9986, 19972

Step-4: Factors of 39962

List of positive integer factors of 39962 that divides 39944 without a remainder.

1, 2, 13, 26, 29, 53, 58, 106, 377, 689, 754, 1378, 1537, 3074, 19981

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39944 and 39962. The biggest common factor number is the GCF number.
So the greatest common factor 39944 and 39962 is 2.

Also check out the Least Common Multiple of 39944 and 39962