What is the Greatest Common Factor of 86786 and 86800?

Greatest common factor (GCF) of 86786 and 86800 is 14.

GCF(86786,86800) = 14

We will now calculate the prime factors of 86786 and 86800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86786 and 86800.

How to find the GCF of 86786 and 86800?

We will first find the prime factorization of 86786 and 86800. After we will calculate the factors of 86786 and 86800 and find the biggest common factor number .

Step-1: Prime Factorization of 86786

Prime factors of 86786 are 2, 7, 6199. Prime factorization of 86786 in exponential form is:

86786 = 2¹ × 7¹ × 6199¹

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 86786

List of positive integer factors of 86786 that divides 86786 without a remainder.

1, 2, 7, 14, 6199, 12398, 43393

Step-4: Factors of 86800

List of positive integer factors of 86800 that divides 86786 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 86786 and 86800. The biggest common factor number is the GCF number.
So the greatest common factor 86786 and 86800 is 14.

Also check out the Least Common Multiple of 86786 and 86800