What is the Greatest Common Factor of 21266 and 21274?

Greatest common factor (GCF) of 21266 and 21274 is 2.

GCF(21266,21274) = 2

We will now calculate the prime factors of 21266 and 21274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21266 and 21274.

How to find the GCF of 21266 and 21274?

We will first find the prime factorization of 21266 and 21274. After we will calculate the factors of 21266 and 21274 and find the biggest common factor number .

Step-1: Prime Factorization of 21266

Prime factors of 21266 are 2, 7, 31. Prime factorization of 21266 in exponential form is:

21266 = 2¹ × 7³ × 31¹

Step-2: Prime Factorization of 21274

Prime factors of 21274 are 2, 11, 967. Prime factorization of 21274 in exponential form is:

21274 = 2¹ × 11¹ × 967¹

Step-3: Factors of 21266

List of positive integer factors of 21266 that divides 21266 without a remainder.

1, 2, 7, 14, 31, 49, 62, 98, 217, 343, 434, 686, 1519, 3038, 10633

Step-4: Factors of 21274

List of positive integer factors of 21274 that divides 21266 without a remainder.

1, 2, 11, 22, 967, 1934, 10637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21266 and 21274. The biggest common factor number is the GCF number.
So the greatest common factor 21266 and 21274 is 2.

Also check out the Least Common Multiple of 21266 and 21274