What is the Greatest Common Factor of 21574 and 21586?

Greatest common factor (GCF) of 21574 and 21586 is 2.

GCF(21574,21586) = 2

We will now calculate the prime factors of 21574 and 21586, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21574 and 21586.

How to find the GCF of 21574 and 21586?

We will first find the prime factorization of 21574 and 21586. After we will calculate the factors of 21574 and 21586 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 21586

Prime factors of 21586 are 2, 43, 251. Prime factorization of 21586 in exponential form is:

21586 = 2¹ × 43¹ × 251¹

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 21586

List of positive integer factors of 21586 that divides 21574 without a remainder.

1, 2, 43, 86, 251, 502, 10793

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21574 and 21586. The biggest common factor number is the GCF number.
So the greatest common factor 21574 and 21586 is 2.

Also check out the Least Common Multiple of 21574 and 21586