What is the Greatest Common Factor of 21335 and 21350?

Greatest common factor (GCF) of 21335 and 21350 is 5.

GCF(21335,21350) = 5

We will now calculate the prime factors of 21335 and 21350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21335 and 21350.

How to find the GCF of 21335 and 21350?

We will first find the prime factorization of 21335 and 21350. After we will calculate the factors of 21335 and 21350 and find the biggest common factor number .

Step-1: Prime Factorization of 21335

Prime factors of 21335 are 5, 17, 251. Prime factorization of 21335 in exponential form is:

21335 = 5¹ × 17¹ × 251¹

Step-2: Prime Factorization of 21350

Prime factors of 21350 are 2, 5, 7, 61. Prime factorization of 21350 in exponential form is:

21350 = 2¹ × 5² × 7¹ × 61¹

Step-3: Factors of 21335

List of positive integer factors of 21335 that divides 21335 without a remainder.

1, 5, 17, 85, 251, 1255, 4267

Step-4: Factors of 21350

List of positive integer factors of 21350 that divides 21335 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 61, 70, 122, 175, 305, 350, 427, 610, 854, 1525, 2135, 3050, 4270, 10675

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21335 and 21350. The biggest common factor number is the GCF number.
So the greatest common factor 21335 and 21350 is 5.

Also check out the Least Common Multiple of 21335 and 21350