What is the Greatest Common Factor of 62800 and 62807?

Greatest common factor (GCF) of 62800 and 62807 is 1.

GCF(62800,62807) = 1

We will now calculate the prime factors of 62800 and 62807, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62800 and 62807.

How to find the GCF of 62800 and 62807?

We will first find the prime factorization of 62800 and 62807. After we will calculate the factors of 62800 and 62807 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 62807

Prime factors of 62807 are 181, 347. Prime factorization of 62807 in exponential form is:

62807 = 181¹ × 347¹

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 62807

List of positive integer factors of 62807 that divides 62800 without a remainder.

1, 181, 347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62800 and 62807. The biggest common factor number is the GCF number.
So the greatest common factor 62800 and 62807 is 1.

Also check out the Least Common Multiple of 62800 and 62807