What is the Greatest Common Factor of 62854 and 62865?

Greatest common factor (GCF) of 62854 and 62865 is 11.

GCF(62854,62865) = 11

We will now calculate the prime factors of 62854 and 62865, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62854 and 62865.

How to find the GCF of 62854 and 62865?

We will first find the prime factorization of 62854 and 62865. After we will calculate the factors of 62854 and 62865 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 62865

Prime factors of 62865 are 3, 5, 11, 127. Prime factorization of 62865 in exponential form is:

62865 = 3² × 5¹ × 11¹ × 127¹

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 62865

List of positive integer factors of 62865 that divides 62854 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 127, 165, 381, 495, 635, 1143, 1397, 1905, 4191, 5715, 6985, 12573, 20955

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62854 and 62865. The biggest common factor number is the GCF number.
So the greatest common factor 62854 and 62865 is 11.

Also check out the Least Common Multiple of 62854 and 62865