What is the Greatest Common Factor of 68868 and 68882?

Greatest common factor (GCF) of 68868 and 68882 is 2.

GCF(68868,68882) = 2

We will now calculate the prime factors of 68868 and 68882, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68868 and 68882.

How to find the GCF of 68868 and 68882?

We will first find the prime factorization of 68868 and 68882. After we will calculate the factors of 68868 and 68882 and find the biggest common factor number .

Step-1: Prime Factorization of 68868

Prime factors of 68868 are 2, 3, 1913. Prime factorization of 68868 in exponential form is:

68868 = 2² × 3² × 1913¹

Step-2: Prime Factorization of 68882

Prime factors of 68882 are 2, 11, 31, 101. Prime factorization of 68882 in exponential form is:

68882 = 2¹ × 11¹ × 31¹ × 101¹

Step-3: Factors of 68868

List of positive integer factors of 68868 that divides 68868 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1913, 3826, 5739, 7652, 11478, 17217, 22956, 34434

Step-4: Factors of 68882

List of positive integer factors of 68882 that divides 68868 without a remainder.

1, 2, 11, 22, 31, 62, 101, 202, 341, 682, 1111, 2222, 3131, 6262, 34441

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68868 and 68882. The biggest common factor number is the GCF number.
So the greatest common factor 68868 and 68882 is 2.

Also check out the Least Common Multiple of 68868 and 68882