What is the Greatest Common Factor of 86796 and 86800?

Greatest common factor (GCF) of 86796 and 86800 is 4.

GCF(86796,86800) = 4

We will now calculate the prime factors of 86796 and 86800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86796 and 86800.

How to find the GCF of 86796 and 86800?

We will first find the prime factorization of 86796 and 86800. After we will calculate the factors of 86796 and 86800 and find the biggest common factor number .

Step-1: Prime Factorization of 86796

Prime factors of 86796 are 2, 3, 2411. Prime factorization of 86796 in exponential form is:

86796 = 2² × 3² × 2411¹

Step-2: 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-3: Factors of 86796

List of positive integer factors of 86796 that divides 86796 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2411, 4822, 7233, 9644, 14466, 21699, 28932, 43398

Step-4: Factors of 86800

List of positive integer factors of 86800 that divides 86796 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86796 and 86800. The biggest common factor number is the GCF number.
So the greatest common factor 86796 and 86800 is 4.

Also check out the Least Common Multiple of 86796 and 86800