What is the Greatest Common Factor of 36274 and 36281?

Greatest common factor (GCF) of 36274 and 36281 is 7.

GCF(36274,36281) = 7

We will now calculate the prime factors of 36274 and 36281, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36274 and 36281.

How to find the GCF of 36274 and 36281?

We will first find the prime factorization of 36274 and 36281. After we will calculate the factors of 36274 and 36281 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 36281

Prime factors of 36281 are 7, 71, 73. Prime factorization of 36281 in exponential form is:

36281 = 7¹ × 71¹ × 73¹

Step-3: Factors of 36274

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

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

Step-4: Factors of 36281

List of positive integer factors of 36281 that divides 36274 without a remainder.

1, 7, 71, 73, 497, 511, 5183

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36274 and 36281. The biggest common factor number is the GCF number.
So the greatest common factor 36274 and 36281 is 7.

Also check out the Least Common Multiple of 36274 and 36281