What is the Greatest Common Factor of 39896 and 39914?

Greatest common factor (GCF) of 39896 and 39914 is 2.

GCF(39896,39914) = 2

We will now calculate the prime factors of 39896 and 39914, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39896 and 39914.

How to find the GCF of 39896 and 39914?

We will first find the prime factorization of 39896 and 39914. After we will calculate the factors of 39896 and 39914 and find the biggest common factor number .

Step-1: Prime Factorization of 39896

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

39896 = 2³ × 4987¹

Step-2: Prime Factorization of 39914

Prime factors of 39914 are 2, 7, 2851. Prime factorization of 39914 in exponential form is:

39914 = 2¹ × 7¹ × 2851¹

Step-3: Factors of 39896

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

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

Step-4: Factors of 39914

List of positive integer factors of 39914 that divides 39896 without a remainder.

1, 2, 7, 14, 2851, 5702, 19957

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39896 and 39914. The biggest common factor number is the GCF number.
So the greatest common factor 39896 and 39914 is 2.

Also check out the Least Common Multiple of 39896 and 39914