What is the Greatest Common Factor of 36260 and 36274?

Greatest common factor (GCF) of 36260 and 36274 is 14.

GCF(36260,36274) = 14

We will now calculate the prime factors of 36260 and 36274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36260 and 36274.

How to find the GCF of 36260 and 36274?

We will first find the prime factorization of 36260 and 36274. After we will calculate the factors of 36260 and 36274 and find the biggest common factor number .

Step-1: Prime Factorization of 36260

Prime factors of 36260 are 2, 5, 7, 37. Prime factorization of 36260 in exponential form is:

36260 = 2² × 5¹ × 7² × 37¹

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 36260

List of positive integer factors of 36260 that divides 36260 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 37, 49, 70, 74, 98, 140, 148, 185, 196, 245, 259, 370, 490, 518, 740, 980, 1036, 1295, 1813, 2590, 3626, 5180, 7252, 9065, 18130

Step-4: Factors of 36274

List of positive integer factors of 36274 that divides 36260 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36260 and 36274. The biggest common factor number is the GCF number.
So the greatest common factor 36260 and 36274 is 14.

Also check out the Least Common Multiple of 36260 and 36274