What is the Greatest Common Factor of 62868 and 62881?

Greatest common factor (GCF) of 62868 and 62881 is 13.

GCF(62868,62881) = 13

We will now calculate the prime factors of 62868 and 62881, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62868 and 62881.

How to find the GCF of 62868 and 62881?

We will first find the prime factorization of 62868 and 62881. After we will calculate the factors of 62868 and 62881 and find the biggest common factor number .

Step-1: Prime Factorization of 62868

Prime factors of 62868 are 2, 3, 13, 31. Prime factorization of 62868 in exponential form is:

62868 = 2² × 3¹ × 13² × 31¹

Step-2: Prime Factorization of 62881

Prime factors of 62881 are 7, 13, 691. Prime factorization of 62881 in exponential form is:

62881 = 7¹ × 13¹ × 691¹

Step-3: Factors of 62868

List of positive integer factors of 62868 that divides 62868 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 31, 39, 52, 62, 78, 93, 124, 156, 169, 186, 338, 372, 403, 507, 676, 806, 1014, 1209, 1612, 2028, 2418, 4836, 5239, 10478, 15717, 20956, 31434

Step-4: Factors of 62881

List of positive integer factors of 62881 that divides 62868 without a remainder.

1, 7, 13, 91, 691, 4837, 8983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62868 and 62881. The biggest common factor number is the GCF number.
So the greatest common factor 62868 and 62881 is 13.

Also check out the Least Common Multiple of 62868 and 62881