What is the Greatest Common Factor of 21460 and 21478?

Greatest common factor (GCF) of 21460 and 21478 is 2.

GCF(21460,21478) = 2

We will now calculate the prime factors of 21460 and 21478, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21460 and 21478.

How to find the GCF of 21460 and 21478?

We will first find the prime factorization of 21460 and 21478. After we will calculate the factors of 21460 and 21478 and find the biggest common factor number .

Step-1: Prime Factorization of 21460

Prime factors of 21460 are 2, 5, 29, 37. Prime factorization of 21460 in exponential form is:

21460 = 2² × 5¹ × 29¹ × 37¹

Step-2: Prime Factorization of 21478

Prime factors of 21478 are 2, 10739. Prime factorization of 21478 in exponential form is:

21478 = 2¹ × 10739¹

Step-3: Factors of 21460

List of positive integer factors of 21460 that divides 21460 without a remainder.

1, 2, 4, 5, 10, 20, 29, 37, 58, 74, 116, 145, 148, 185, 290, 370, 580, 740, 1073, 2146, 4292, 5365, 10730

Step-4: Factors of 21478

List of positive integer factors of 21478 that divides 21460 without a remainder.

1, 2, 10739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21460 and 21478. The biggest common factor number is the GCF number.
So the greatest common factor 21460 and 21478 is 2.

Also check out the Least Common Multiple of 21460 and 21478