What is the Greatest Common Factor of 39878 and 39882?

Greatest common factor (GCF) of 39878 and 39882 is 2.

GCF(39878,39882) = 2

We will now calculate the prime factors of 39878 and 39882, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39878 and 39882.

How to find the GCF of 39878 and 39882?

We will first find the prime factorization of 39878 and 39882. After we will calculate the factors of 39878 and 39882 and find the biggest common factor number .

Step-1: Prime Factorization of 39878

Prime factors of 39878 are 2, 127, 157. Prime factorization of 39878 in exponential form is:

39878 = 2¹ × 127¹ × 157¹

Step-2: Prime Factorization of 39882

Prime factors of 39882 are 2, 3, 17, 23. Prime factorization of 39882 in exponential form is:

39882 = 2¹ × 3¹ × 17² × 23¹

Step-3: Factors of 39878

List of positive integer factors of 39878 that divides 39878 without a remainder.

1, 2, 127, 157, 254, 314, 19939

Step-4: Factors of 39882

List of positive integer factors of 39882 that divides 39878 without a remainder.

1, 2, 3, 6, 17, 23, 34, 46, 51, 69, 102, 138, 289, 391, 578, 782, 867, 1173, 1734, 2346, 6647, 13294, 19941

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39878 and 39882. The biggest common factor number is the GCF number.
So the greatest common factor 39878 and 39882 is 2.

Also check out the Least Common Multiple of 39878 and 39882