What is the Greatest Common Factor of 62842 and 62855?

Greatest common factor (GCF) of 62842 and 62855 is 13.

GCF(62842,62855) = 13

We will now calculate the prime factors of 62842 and 62855, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62842 and 62855.

How to find the GCF of 62842 and 62855?

We will first find the prime factorization of 62842 and 62855. After we will calculate the factors of 62842 and 62855 and find the biggest common factor number .

Step-1: Prime Factorization of 62842

Prime factors of 62842 are 2, 13, 2417. Prime factorization of 62842 in exponential form is:

62842 = 2¹ × 13¹ × 2417¹

Step-2: Prime Factorization of 62855

Prime factors of 62855 are 5, 13, 967. Prime factorization of 62855 in exponential form is:

62855 = 5¹ × 13¹ × 967¹

Step-3: Factors of 62842

List of positive integer factors of 62842 that divides 62842 without a remainder.

1, 2, 13, 26, 2417, 4834, 31421

Step-4: Factors of 62855

List of positive integer factors of 62855 that divides 62842 without a remainder.

1, 5, 13, 65, 967, 4835, 12571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62842 and 62855. The biggest common factor number is the GCF number.
So the greatest common factor 62842 and 62855 is 13.

Also check out the Least Common Multiple of 62842 and 62855