What is the Greatest Common Factor of 21470 and 21489?

Greatest common factor (GCF) of 21470 and 21489 is 19.

GCF(21470,21489) = 19

We will now calculate the prime factors of 21470 and 21489, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21470 and 21489.

How to find the GCF of 21470 and 21489?

We will first find the prime factorization of 21470 and 21489. After we will calculate the factors of 21470 and 21489 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 21489

Prime factors of 21489 are 3, 13, 19, 29. Prime factorization of 21489 in exponential form is:

21489 = 3¹ × 13¹ × 19¹ × 29¹

Step-3: Factors of 21470

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

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

Step-4: Factors of 21489

List of positive integer factors of 21489 that divides 21470 without a remainder.

1, 3, 13, 19, 29, 39, 57, 87, 247, 377, 551, 741, 1131, 1653, 7163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21470 and 21489. The biggest common factor number is the GCF number.
So the greatest common factor 21470 and 21489 is 19.

Also check out the Least Common Multiple of 21470 and 21489