What is the Greatest Common Factor of 86800 and 86813?

Greatest common factor (GCF) of 86800 and 86813 is 1.

GCF(86800,86813) = 1

We will now calculate the prime factors of 86800 and 86813, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86800 and 86813.

How to find the GCF of 86800 and 86813?

We will first find the prime factorization of 86800 and 86813. After we will calculate the factors of 86800 and 86813 and find the biggest common factor number .

Step-1: Prime Factorization of 86800

Prime factors of 86800 are 2, 5, 7, 31. Prime factorization of 86800 in exponential form is:

86800 = 2⁴ × 5² × 7¹ × 31¹

Step-2: Prime Factorization of 86813

Prime factors of 86813 are 86813. Prime factorization of 86813 in exponential form is:

86813 = 86813¹

Step-3: Factors of 86800

List of positive integer factors of 86800 that divides 86800 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 31, 35, 40, 50, 56, 62, 70, 80, 100, 112, 124, 140, 155, 175, 200, 217, 248, 280, 310, 350, 400, 434, 496, 560, 620, 700, 775, 868, 1085, 1240, 1400, 1550, 1736, 2170, 2480, 2800, 3100, 3472, 4340, 5425, 6200, 8680, 10850, 12400, 17360, 21700, 43400

Step-4: Factors of 86813

List of positive integer factors of 86813 that divides 86800 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86800 and 86813. The biggest common factor number is the GCF number.
So the greatest common factor 86800 and 86813 is 1.

Also check out the Least Common Multiple of 86800 and 86813