What is the Greatest Common Factor of 21457 and 21462?

Greatest common factor (GCF) of 21457 and 21462 is 1.

GCF(21457,21462) = 1

We will now calculate the prime factors of 21457 and 21462, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21457 and 21462.

How to find the GCF of 21457 and 21462?

We will first find the prime factorization of 21457 and 21462. After we will calculate the factors of 21457 and 21462 and find the biggest common factor number .

Step-1: Prime Factorization of 21457

Prime factors of 21457 are 43, 499. Prime factorization of 21457 in exponential form is:

21457 = 43¹ × 499¹

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 21457

List of positive integer factors of 21457 that divides 21457 without a remainder.

1, 43, 499

Step-4: Factors of 21462

List of positive integer factors of 21462 that divides 21457 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 21457 and 21462. The biggest common factor number is the GCF number.
So the greatest common factor 21457 and 21462 is 1.

Also check out the Least Common Multiple of 21457 and 21462