What is the Greatest Common Factor of 68862 and 68871?

Greatest common factor (GCF) of 68862 and 68871 is 3.

GCF(68862,68871) = 3

We will now calculate the prime factors of 68862 and 68871, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68862 and 68871.

How to find the GCF of 68862 and 68871?

We will first find the prime factorization of 68862 and 68871. After we will calculate the factors of 68862 and 68871 and find the biggest common factor number .

Step-1: Prime Factorization of 68862

Prime factors of 68862 are 2, 3, 23, 499. Prime factorization of 68862 in exponential form is:

68862 = 2¹ × 3¹ × 23¹ × 499¹

Step-2: 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-3: Factors of 68862

List of positive integer factors of 68862 that divides 68862 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 499, 998, 1497, 2994, 11477, 22954, 34431

Step-4: Factors of 68871

List of positive integer factors of 68871 that divides 68862 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68862 and 68871. The biggest common factor number is the GCF number.
So the greatest common factor 68862 and 68871 is 3.

Also check out the Least Common Multiple of 68862 and 68871