What is the Greatest Common Factor of 21266 and 21273?

Greatest common factor (GCF) of 21266 and 21273 is 7.

GCF(21266,21273) = 7

We will now calculate the prime factors of 21266 and 21273, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21266 and 21273.

How to find the GCF of 21266 and 21273?

We will first find the prime factorization of 21266 and 21273. After we will calculate the factors of 21266 and 21273 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 21273

Prime factors of 21273 are 3, 7, 1013. Prime factorization of 21273 in exponential form is:

21273 = 3¹ × 7¹ × 1013¹

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 21273

List of positive integer factors of 21273 that divides 21266 without a remainder.

1, 3, 7, 21, 1013, 3039, 7091

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21266 and 21273. The biggest common factor number is the GCF number.
So the greatest common factor 21266 and 21273 is 7.

Also check out the Least Common Multiple of 21266 and 21273