What is the Greatest Common Factor of 36380 and 36394?

Greatest common factor (GCF) of 36380 and 36394 is 2.

GCF(36380,36394) = 2

We will now calculate the prime factors of 36380 and 36394, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36380 and 36394.

How to find the GCF of 36380 and 36394?

We will first find the prime factorization of 36380 and 36394. After we will calculate the factors of 36380 and 36394 and find the biggest common factor number .

Step-1: Prime Factorization of 36380

Prime factors of 36380 are 2, 5, 17, 107. Prime factorization of 36380 in exponential form is:

36380 = 2² × 5¹ × 17¹ × 107¹

Step-2: Prime Factorization of 36394

Prime factors of 36394 are 2, 31, 587. Prime factorization of 36394 in exponential form is:

36394 = 2¹ × 31¹ × 587¹

Step-3: Factors of 36380

List of positive integer factors of 36380 that divides 36380 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 107, 170, 214, 340, 428, 535, 1070, 1819, 2140, 3638, 7276, 9095, 18190

Step-4: Factors of 36394

List of positive integer factors of 36394 that divides 36380 without a remainder.

1, 2, 31, 62, 587, 1174, 18197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36380 and 36394. The biggest common factor number is the GCF number.
So the greatest common factor 36380 and 36394 is 2.

Also check out the Least Common Multiple of 36380 and 36394