What is the Greatest Common Factor of 86800 and 86820?

Greatest common factor (GCF) of 86800 and 86820 is 20.

GCF(86800,86820) = 20

We will now calculate the prime factors of 86800 and 86820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86800 and 86820.

How to find the GCF of 86800 and 86820?

We will first find the prime factorization of 86800 and 86820. After we will calculate the factors of 86800 and 86820 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 86820

Prime factors of 86820 are 2, 3, 5, 1447. Prime factorization of 86820 in exponential form is:

86820 = 2² × 3¹ × 5¹ × 1447¹

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 86820

List of positive integer factors of 86820 that divides 86800 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1447, 2894, 4341, 5788, 7235, 8682, 14470, 17364, 21705, 28940, 43410

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86800 and 86820. The biggest common factor number is the GCF number.
So the greatest common factor 86800 and 86820 is 20.

Also check out the Least Common Multiple of 86800 and 86820