What is the Greatest Common Factor of 10266 and 10274?

Greatest common factor (GCF) of 10266 and 10274 is 2.

GCF(10266,10274) = 2

We will now calculate the prime factors of 10266 and 10274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10266 and 10274.

How to find the GCF of 10266 and 10274?

We will first find the prime factorization of 10266 and 10274. After we will calculate the factors of 10266 and 10274 and find the biggest common factor number .

Step-1: Prime Factorization of 10266

Prime factors of 10266 are 2, 3, 29, 59. Prime factorization of 10266 in exponential form is:

10266 = 2¹ × 3¹ × 29¹ × 59¹

Step-2: Prime Factorization of 10274

Prime factors of 10274 are 2, 11, 467. Prime factorization of 10274 in exponential form is:

10274 = 2¹ × 11¹ × 467¹

Step-3: Factors of 10266

List of positive integer factors of 10266 that divides 10266 without a remainder.

1, 2, 3, 6, 29, 58, 59, 87, 118, 174, 177, 354, 1711, 3422, 5133

Step-4: Factors of 10274

List of positive integer factors of 10274 that divides 10266 without a remainder.

1, 2, 11, 22, 467, 934, 5137

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10266 and 10274. The biggest common factor number is the GCF number.
So the greatest common factor 10266 and 10274 is 2.

Also check out the Least Common Multiple of 10266 and 10274