What is the Greatest Common Factor of 39874 and 39884?

Greatest common factor (GCF) of 39874 and 39884 is 2.

GCF(39874,39884) = 2

We will now calculate the prime factors of 39874 and 39884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39874 and 39884.

How to find the GCF of 39874 and 39884?

We will first find the prime factorization of 39874 and 39884. After we will calculate the factors of 39874 and 39884 and find the biggest common factor number .

Step-1: Prime Factorization of 39874

Prime factors of 39874 are 2, 19937. Prime factorization of 39874 in exponential form is:

39874 = 2¹ × 19937¹

Step-2: Prime Factorization of 39884

Prime factors of 39884 are 2, 13, 59. Prime factorization of 39884 in exponential form is:

39884 = 2² × 13² × 59¹

Step-3: Factors of 39874

List of positive integer factors of 39874 that divides 39874 without a remainder.

1, 2, 19937

Step-4: Factors of 39884

List of positive integer factors of 39884 that divides 39874 without a remainder.

1, 2, 4, 13, 26, 52, 59, 118, 169, 236, 338, 676, 767, 1534, 3068, 9971, 19942

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39874 and 39884. The biggest common factor number is the GCF number.
So the greatest common factor 39874 and 39884 is 2.

Also check out the Least Common Multiple of 39874 and 39884