What is the Greatest Common Factor of 62800 and 62810?

Greatest common factor (GCF) of 62800 and 62810 is 10.

GCF(62800,62810) = 10

We will now calculate the prime factors of 62800 and 62810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62800 and 62810.

How to find the GCF of 62800 and 62810?

We will first find the prime factorization of 62800 and 62810. After we will calculate the factors of 62800 and 62810 and find the biggest common factor number .

Step-1: Prime Factorization of 62800

Prime factors of 62800 are 2, 5, 157. Prime factorization of 62800 in exponential form is:

62800 = 2⁴ × 5² × 157¹

Step-2: Prime Factorization of 62810

Prime factors of 62810 are 2, 5, 11, 571. Prime factorization of 62810 in exponential form is:

62810 = 2¹ × 5¹ × 11¹ × 571¹

Step-3: Factors of 62800

List of positive integer factors of 62800 that divides 62800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 157, 200, 314, 400, 628, 785, 1256, 1570, 2512, 3140, 3925, 6280, 7850, 12560, 15700, 31400

Step-4: Factors of 62810

List of positive integer factors of 62810 that divides 62800 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 571, 1142, 2855, 5710, 6281, 12562, 31405

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62800 and 62810. The biggest common factor number is the GCF number.
So the greatest common factor 62800 and 62810 is 10.

Also check out the Least Common Multiple of 62800 and 62810