What is the Greatest Common Factor of 21574 and 21587?

Greatest common factor (GCF) of 21574 and 21587 is 1.

GCF(21574,21587) = 1

We will now calculate the prime factors of 21574 and 21587, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21574 and 21587.

How to find the GCF of 21574 and 21587?

We will first find the prime factorization of 21574 and 21587. After we will calculate the factors of 21574 and 21587 and find the biggest common factor number .

Step-1: Prime Factorization of 21574

Prime factors of 21574 are 2, 7, 23, 67. Prime factorization of 21574 in exponential form is:

21574 = 2¹ × 7¹ × 23¹ × 67¹

Step-2: Prime Factorization of 21587

Prime factors of 21587 are 21587. Prime factorization of 21587 in exponential form is:

21587 = 21587¹

Step-3: Factors of 21574

List of positive integer factors of 21574 that divides 21574 without a remainder.

1, 2, 7, 14, 23, 46, 67, 134, 161, 322, 469, 938, 1541, 3082, 10787

Step-4: Factors of 21587

List of positive integer factors of 21587 that divides 21574 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21574 and 21587. The biggest common factor number is the GCF number.
So the greatest common factor 21574 and 21587 is 1.

Also check out the Least Common Multiple of 21574 and 21587