What is the Greatest Common Factor of 39884 and 39896?

Greatest common factor (GCF) of 39884 and 39896 is 4.

GCF(39884,39896) = 4

We will now calculate the prime factors of 39884 and 39896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39884 and 39896.

How to find the GCF of 39884 and 39896?

We will first find the prime factorization of 39884 and 39896. After we will calculate the factors of 39884 and 39896 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 39896

Prime factors of 39896 are 2, 4987. Prime factorization of 39896 in exponential form is:

39896 = 2³ × 4987¹

Step-3: Factors of 39884

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

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

Step-4: Factors of 39896

List of positive integer factors of 39896 that divides 39884 without a remainder.

1, 2, 4, 8, 4987, 9974, 19948

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39884 and 39896. The biggest common factor number is the GCF number.
So the greatest common factor 39884 and 39896 is 4.

Also check out the Least Common Multiple of 39884 and 39896