What is the Greatest Common Factor of 21074 and 21087?

Greatest common factor (GCF) of 21074 and 21087 is 1.

GCF(21074,21087) = 1

We will now calculate the prime factors of 21074 and 21087, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21074 and 21087.

How to find the GCF of 21074 and 21087?

We will first find the prime factorization of 21074 and 21087. After we will calculate the factors of 21074 and 21087 and find the biggest common factor number .

Step-1: Prime Factorization of 21074

Prime factors of 21074 are 2, 41, 257. Prime factorization of 21074 in exponential form is:

21074 = 2¹ × 41¹ × 257¹

Step-2: Prime Factorization of 21087

Prime factors of 21087 are 3, 11, 71. Prime factorization of 21087 in exponential form is:

21087 = 3³ × 11¹ × 71¹

Step-3: Factors of 21074

List of positive integer factors of 21074 that divides 21074 without a remainder.

1, 2, 41, 82, 257, 514, 10537

Step-4: Factors of 21087

List of positive integer factors of 21087 that divides 21074 without a remainder.

1, 3, 9, 11, 27, 33, 71, 99, 213, 297, 639, 781, 1917, 2343, 7029

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21074 and 21087. The biggest common factor number is the GCF number.
So the greatest common factor 21074 and 21087 is 1.

Also check out the Least Common Multiple of 21074 and 21087