What is the Greatest Common Factor of 21462 and 21467?

Greatest common factor (GCF) of 21462 and 21467 is 1.

GCF(21462,21467) = 1

We will now calculate the prime factors of 21462 and 21467, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21462 and 21467.

How to find the GCF of 21462 and 21467?

We will first find the prime factorization of 21462 and 21467. After we will calculate the factors of 21462 and 21467 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 21467

Prime factors of 21467 are 21467. Prime factorization of 21467 in exponential form is:

21467 = 21467¹

Step-3: Factors of 21462

List of positive integer factors of 21462 that divides 21462 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

Step-4: Factors of 21467

List of positive integer factors of 21467 that divides 21462 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21462 and 21467. The biggest common factor number is the GCF number.
So the greatest common factor 21462 and 21467 is 1.

Also check out the Least Common Multiple of 21462 and 21467