What is the Greatest Common Factor of 36380 and 36390?

Greatest common factor (GCF) of 36380 and 36390 is 10.

GCF(36380,36390) = 10

We will now calculate the prime factors of 36380 and 36390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36380 and 36390.

How to find the GCF of 36380 and 36390?

We will first find the prime factorization of 36380 and 36390. After we will calculate the factors of 36380 and 36390 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 36390

Prime factors of 36390 are 2, 3, 5, 1213. Prime factorization of 36390 in exponential form is:

36390 = 2¹ × 3¹ × 5¹ × 1213¹

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 36390

List of positive integer factors of 36390 that divides 36380 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1213, 2426, 3639, 6065, 7278, 12130, 18195

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36380 and 36390. The biggest common factor number is the GCF number.
So the greatest common factor 36380 and 36390 is 10.

Also check out the Least Common Multiple of 36380 and 36390