What is the Greatest Common Factor of 68871 and 68882?

Greatest common factor (GCF) of 68871 and 68882 is 11.

GCF(68871,68882) = 11

We will now calculate the prime factors of 68871 and 68882, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68871 and 68882.

How to find the GCF of 68871 and 68882?

We will first find the prime factorization of 68871 and 68882. After we will calculate the factors of 68871 and 68882 and find the biggest common factor number .

Step-1: Prime Factorization of 68871

Prime factors of 68871 are 3, 11, 2087. Prime factorization of 68871 in exponential form is:

68871 = 3¹ × 11¹ × 2087¹

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 68871

List of positive integer factors of 68871 that divides 68871 without a remainder.

1, 3, 11, 33, 2087, 6261, 22957

Step-4: Factors of 68882

List of positive integer factors of 68882 that divides 68871 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 68871 and 68882. The biggest common factor number is the GCF number.
So the greatest common factor 68871 and 68882 is 11.

Also check out the Least Common Multiple of 68871 and 68882