What is the Greatest Common Factor of 21460 and 21470?

Greatest common factor (GCF) of 21460 and 21470 is 10.

GCF(21460,21470) = 10

We will now calculate the prime factors of 21460 and 21470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21460 and 21470.

How to find the GCF of 21460 and 21470?

We will first find the prime factorization of 21460 and 21470. After we will calculate the factors of 21460 and 21470 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 21470

Prime factors of 21470 are 2, 5, 19, 113. Prime factorization of 21470 in exponential form is:

21470 = 2¹ × 5¹ × 19¹ × 113¹

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 21470

List of positive integer factors of 21470 that divides 21460 without a remainder.

1, 2, 5, 10, 19, 38, 95, 113, 190, 226, 565, 1130, 2147, 4294, 10735

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21460 and 21470. The biggest common factor number is the GCF number.
So the greatest common factor 21460 and 21470 is 10.

Also check out the Least Common Multiple of 21460 and 21470