What is the Greatest Common Factor of 21245 and 21260?

Greatest common factor (GCF) of 21245 and 21260 is 5.

GCF(21245,21260) = 5

We will now calculate the prime factors of 21245 and 21260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21245 and 21260.

How to find the GCF of 21245 and 21260?

We will first find the prime factorization of 21245 and 21260. After we will calculate the factors of 21245 and 21260 and find the biggest common factor number .

Step-1: Prime Factorization of 21245

Prime factors of 21245 are 5, 7, 607. Prime factorization of 21245 in exponential form is:

21245 = 5¹ × 7¹ × 607¹

Step-2: Prime Factorization of 21260

Prime factors of 21260 are 2, 5, 1063. Prime factorization of 21260 in exponential form is:

21260 = 2² × 5¹ × 1063¹

Step-3: Factors of 21245

List of positive integer factors of 21245 that divides 21245 without a remainder.

1, 5, 7, 35, 607, 3035, 4249

Step-4: Factors of 21260

List of positive integer factors of 21260 that divides 21245 without a remainder.

1, 2, 4, 5, 10, 20, 1063, 2126, 4252, 5315, 10630

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21245 and 21260. The biggest common factor number is the GCF number.
So the greatest common factor 21245 and 21260 is 5.

Also check out the Least Common Multiple of 21245 and 21260