What is the Greatest Common Factor of 36386 and 36400?

Greatest common factor (GCF) of 36386 and 36400 is 14.

GCF(36386,36400) = 14

We will now calculate the prime factors of 36386 and 36400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36386 and 36400.

How to find the GCF of 36386 and 36400?

We will first find the prime factorization of 36386 and 36400. After we will calculate the factors of 36386 and 36400 and find the biggest common factor number .

Step-1: Prime Factorization of 36386

Prime factors of 36386 are 2, 7, 23, 113. Prime factorization of 36386 in exponential form is:

36386 = 2¹ × 7¹ × 23¹ × 113¹

Step-2: Prime Factorization of 36400

Prime factors of 36400 are 2, 5, 7, 13. Prime factorization of 36400 in exponential form is:

36400 = 2⁴ × 5² × 7¹ × 13¹

Step-3: Factors of 36386

List of positive integer factors of 36386 that divides 36386 without a remainder.

1, 2, 7, 14, 23, 46, 113, 161, 226, 322, 791, 1582, 2599, 5198, 18193

Step-4: Factors of 36400

List of positive integer factors of 36400 that divides 36386 without a remainder.

1, 2, 4, 5, 7, 8, 10, 13, 14, 16, 20, 25, 26, 28, 35, 40, 50, 52, 56, 65, 70, 80, 91, 100, 104, 112, 130, 140, 175, 182, 200, 208, 260, 280, 325, 350, 364, 400, 455, 520, 560, 650, 700, 728, 910, 1040, 1300, 1400, 1456, 1820, 2275, 2600, 2800, 3640, 4550, 5200, 7280, 9100, 18200

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36386 and 36400. The biggest common factor number is the GCF number.
So the greatest common factor 36386 and 36400 is 14.

Also check out the Least Common Multiple of 36386 and 36400