What is the Greatest Common Factor of 62854 and 62868?

Greatest common factor (GCF) of 62854 and 62868 is 2.

GCF(62854,62868) = 2

We will now calculate the prime factors of 62854 and 62868, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62854 and 62868.

How to find the GCF of 62854 and 62868?

We will first find the prime factorization of 62854 and 62868. After we will calculate the factors of 62854 and 62868 and find the biggest common factor number .

Step-1: Prime Factorization of 62854

Prime factors of 62854 are 2, 11, 2857. Prime factorization of 62854 in exponential form is:

62854 = 2¹ × 11¹ × 2857¹

Step-2: 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-3: Factors of 62854

List of positive integer factors of 62854 that divides 62854 without a remainder.

1, 2, 11, 22, 2857, 5714, 31427

Step-4: Factors of 62868

List of positive integer factors of 62868 that divides 62854 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62854 and 62868. The biggest common factor number is the GCF number.
So the greatest common factor 62854 and 62868 is 2.

Also check out the Least Common Multiple of 62854 and 62868