What is the Greatest Common Factor of 36270 and 36274?

Greatest common factor (GCF) of 36270 and 36274 is 2.

GCF(36270,36274) = 2

We will now calculate the prime factors of 36270 and 36274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36270 and 36274.

How to find the GCF of 36270 and 36274?

We will first find the prime factorization of 36270 and 36274. After we will calculate the factors of 36270 and 36274 and find the biggest common factor number .

Step-1: Prime Factorization of 36270

Prime factors of 36270 are 2, 3, 5, 13, 31. Prime factorization of 36270 in exponential form is:

36270 = 2¹ × 3² × 5¹ × 13¹ × 31¹

Step-2: Prime Factorization of 36274

Prime factors of 36274 are 2, 7, 2591. Prime factorization of 36274 in exponential form is:

36274 = 2¹ × 7¹ × 2591¹

Step-3: Factors of 36270

List of positive integer factors of 36270 that divides 36270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 30, 31, 39, 45, 62, 65, 78, 90, 93, 117, 130, 155, 186, 195, 234, 279, 310, 390, 403, 465, 558, 585, 806, 930, 1170, 1209, 1395, 2015, 2418, 2790, 3627, 4030, 6045, 7254, 12090, 18135

Step-4: Factors of 36274

List of positive integer factors of 36274 that divides 36270 without a remainder.

1, 2, 7, 14, 2591, 5182, 18137

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36270 and 36274. The biggest common factor number is the GCF number.
So the greatest common factor 36270 and 36274 is 2.

Also check out the Least Common Multiple of 36270 and 36274