What is the Greatest Common Factor of 62785 and 62800?

Greatest common factor (GCF) of 62785 and 62800 is 5.

GCF(62785,62800) = 5

We will now calculate the prime factors of 62785 and 62800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62785 and 62800.

How to find the GCF of 62785 and 62800?

We will first find the prime factorization of 62785 and 62800. After we will calculate the factors of 62785 and 62800 and find the biggest common factor number .

Step-1: Prime Factorization of 62785

Prime factors of 62785 are 5, 29, 433. Prime factorization of 62785 in exponential form is:

62785 = 5¹ × 29¹ × 433¹

Step-2: 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-3: Factors of 62785

List of positive integer factors of 62785 that divides 62785 without a remainder.

1, 5, 29, 145, 433, 2165, 12557

Step-4: Factors of 62800

List of positive integer factors of 62800 that divides 62785 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62785 and 62800. The biggest common factor number is the GCF number.
So the greatest common factor 62785 and 62800 is 5.

Also check out the Least Common Multiple of 62785 and 62800