What is the Greatest Common Factor of 62800 and 62820?

Greatest common factor (GCF) of 62800 and 62820 is 20.

GCF(62800,62820) = 20

We will now calculate the prime factors of 62800 and 62820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62800 and 62820.

How to find the GCF of 62800 and 62820?

We will first find the prime factorization of 62800 and 62820. After we will calculate the factors of 62800 and 62820 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 62820

Prime factors of 62820 are 2, 3, 5, 349. Prime factorization of 62820 in exponential form is:

62820 = 2² × 3² × 5¹ × 349¹

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 62820

List of positive integer factors of 62820 that divides 62800 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 349, 698, 1047, 1396, 1745, 2094, 3141, 3490, 4188, 5235, 6282, 6980, 10470, 12564, 15705, 20940, 31410

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62800 and 62820. The biggest common factor number is the GCF number.
So the greatest common factor 62800 and 62820 is 20.

Also check out the Least Common Multiple of 62800 and 62820