What is the Greatest Common Factor of 21454 and 21462?

Greatest common factor (GCF) of 21454 and 21462 is 2.

GCF(21454,21462) = 2

We will now calculate the prime factors of 21454 and 21462, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21454 and 21462.

How to find the GCF of 21454 and 21462?

We will first find the prime factorization of 21454 and 21462. After we will calculate the factors of 21454 and 21462 and find the biggest common factor number .

Step-1: Prime Factorization of 21454

Prime factors of 21454 are 2, 17, 631. Prime factorization of 21454 in exponential form is:

21454 = 2¹ × 17¹ × 631¹

Step-2: Prime Factorization of 21462

Prime factors of 21462 are 2, 3, 7, 73. Prime factorization of 21462 in exponential form is:

21462 = 2¹ × 3¹ × 7² × 73¹

Step-3: Factors of 21454

List of positive integer factors of 21454 that divides 21454 without a remainder.

1, 2, 17, 34, 631, 1262, 10727

Step-4: Factors of 21462

List of positive integer factors of 21462 that divides 21454 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 73, 98, 146, 147, 219, 294, 438, 511, 1022, 1533, 3066, 3577, 7154, 10731

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21454 and 21462. The biggest common factor number is the GCF number.
So the greatest common factor 21454 and 21462 is 2.

Also check out the Least Common Multiple of 21454 and 21462