What is the Greatest Common Factor of 21475 and 21489?

Greatest common factor (GCF) of 21475 and 21489 is 1.

GCF(21475,21489) = 1

We will now calculate the prime factors of 21475 and 21489, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21475 and 21489.

How to find the GCF of 21475 and 21489?

We will first find the prime factorization of 21475 and 21489. After we will calculate the factors of 21475 and 21489 and find the biggest common factor number .

Step-1: Prime Factorization of 21475

Prime factors of 21475 are 5, 859. Prime factorization of 21475 in exponential form is:

21475 = 5² × 859¹

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 21475

List of positive integer factors of 21475 that divides 21475 without a remainder.

1, 5, 25, 859, 4295

Step-4: Factors of 21489

List of positive integer factors of 21489 that divides 21475 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 21475 and 21489. The biggest common factor number is the GCF number.
So the greatest common factor 21475 and 21489 is 1.

Also check out the Least Common Multiple of 21475 and 21489