What is the Greatest Common Factor of 86800 and 86808?

Greatest common factor (GCF) of 86800 and 86808 is 8.

GCF(86800,86808) = 8

We will now calculate the prime factors of 86800 and 86808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86800 and 86808.

How to find the GCF of 86800 and 86808?

We will first find the prime factorization of 86800 and 86808. After we will calculate the factors of 86800 and 86808 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 86808

Prime factors of 86808 are 2, 3, 3617. Prime factorization of 86808 in exponential form is:

86808 = 2³ × 3¹ × 3617¹

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 86808

List of positive integer factors of 86808 that divides 86800 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3617, 7234, 10851, 14468, 21702, 28936, 43404

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86800 and 86808. The biggest common factor number is the GCF number.
So the greatest common factor 86800 and 86808 is 8.

Also check out the Least Common Multiple of 86800 and 86808