What is the Greatest Common Factor of 62854 and 62858?

Greatest common factor (GCF) of 62854 and 62858 is 2.

GCF(62854,62858) = 2

We will now calculate the prime factors of 62854 and 62858, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62854 and 62858.

How to find the GCF of 62854 and 62858?

We will first find the prime factorization of 62854 and 62858. After we will calculate the factors of 62854 and 62858 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 62858

Prime factors of 62858 are 2, 53, 593. Prime factorization of 62858 in exponential form is:

62858 = 2¹ × 53¹ × 593¹

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 62858

List of positive integer factors of 62858 that divides 62854 without a remainder.

1, 2, 53, 106, 593, 1186, 31429

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62854 and 62858. The biggest common factor number is the GCF number.
So the greatest common factor 62854 and 62858 is 2.

Also check out the Least Common Multiple of 62854 and 62858