What is the Greatest Common Factor of 21282 and 21302?

Greatest common factor (GCF) of 21282 and 21302 is 2.

GCF(21282,21302) = 2

We will now calculate the prime factors of 21282 and 21302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21282 and 21302.

How to find the GCF of 21282 and 21302?

We will first find the prime factorization of 21282 and 21302. After we will calculate the factors of 21282 and 21302 and find the biggest common factor number .

Step-1: Prime Factorization of 21282

Prime factors of 21282 are 2, 3, 3547. Prime factorization of 21282 in exponential form is:

21282 = 2¹ × 3¹ × 3547¹

Step-2: Prime Factorization of 21302

Prime factors of 21302 are 2, 10651. Prime factorization of 21302 in exponential form is:

21302 = 2¹ × 10651¹

Step-3: Factors of 21282

List of positive integer factors of 21282 that divides 21282 without a remainder.

1, 2, 3, 6, 3547, 7094, 10641

Step-4: Factors of 21302

List of positive integer factors of 21302 that divides 21282 without a remainder.

1, 2, 10651

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21282 and 21302. The biggest common factor number is the GCF number.
So the greatest common factor 21282 and 21302 is 2.

Also check out the Least Common Multiple of 21282 and 21302