What is the Greatest Common Factor of 62800 and 62814?

Greatest common factor (GCF) of 62800 and 62814 is 2.

GCF(62800,62814) = 2

We will now calculate the prime factors of 62800 and 62814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62800 and 62814.

How to find the GCF of 62800 and 62814?

We will first find the prime factorization of 62800 and 62814. After we will calculate the factors of 62800 and 62814 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 62814

Prime factors of 62814 are 2, 3, 19, 29. Prime factorization of 62814 in exponential form is:

62814 = 2¹ × 3¹ × 19² × 29¹

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 62814

List of positive integer factors of 62814 that divides 62800 without a remainder.

1, 2, 3, 6, 19, 29, 38, 57, 58, 87, 114, 174, 361, 551, 722, 1083, 1102, 1653, 2166, 3306, 10469, 20938, 31407

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62800 and 62814. The biggest common factor number is the GCF number.
So the greatest common factor 62800 and 62814 is 2.

Also check out the Least Common Multiple of 62800 and 62814