What is the Greatest Common Factor of 27286 and 27302?

Greatest common factor (GCF) of 27286 and 27302 is 2.

GCF(27286,27302) = 2

We will now calculate the prime factors of 27286 and 27302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27286 and 27302.

How to find the GCF of 27286 and 27302?

We will first find the prime factorization of 27286 and 27302. After we will calculate the factors of 27286 and 27302 and find the biggest common factor number .

Step-1: Prime Factorization of 27286

Prime factors of 27286 are 2, 7, 1949. Prime factorization of 27286 in exponential form is:

27286 = 2¹ × 7¹ × 1949¹

Step-2: Prime Factorization of 27302

Prime factors of 27302 are 2, 11, 17, 73. Prime factorization of 27302 in exponential form is:

27302 = 2¹ × 11¹ × 17¹ × 73¹

Step-3: Factors of 27286

List of positive integer factors of 27286 that divides 27286 without a remainder.

1, 2, 7, 14, 1949, 3898, 13643

Step-4: Factors of 27302

List of positive integer factors of 27302 that divides 27286 without a remainder.

1, 2, 11, 17, 22, 34, 73, 146, 187, 374, 803, 1241, 1606, 2482, 13651

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27286 and 27302. The biggest common factor number is the GCF number.
So the greatest common factor 27286 and 27302 is 2.

Also check out the Least Common Multiple of 27286 and 27302