What is the Greatest Common Factor of 33862 and 33878?

Greatest common factor (GCF) of 33862 and 33878 is 2.

GCF(33862,33878) = 2

We will now calculate the prime factors of 33862 and 33878, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33862 and 33878.

How to find the GCF of 33862 and 33878?

We will first find the prime factorization of 33862 and 33878. After we will calculate the factors of 33862 and 33878 and find the biggest common factor number .

Step-1: Prime Factorization of 33862

Prime factors of 33862 are 2, 16931. Prime factorization of 33862 in exponential form is:

33862 = 2¹ × 16931¹

Step-2: Prime Factorization of 33878

Prime factors of 33878 are 2, 13, 1303. Prime factorization of 33878 in exponential form is:

33878 = 2¹ × 13¹ × 1303¹

Step-3: Factors of 33862

List of positive integer factors of 33862 that divides 33862 without a remainder.

1, 2, 16931

Step-4: Factors of 33878

List of positive integer factors of 33878 that divides 33862 without a remainder.

1, 2, 13, 26, 1303, 2606, 16939

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33862 and 33878. The biggest common factor number is the GCF number.
So the greatest common factor 33862 and 33878 is 2.

Also check out the Least Common Multiple of 33862 and 33878