What is the Greatest Common Factor of 21417 and 21435?

Greatest common factor (GCF) of 21417 and 21435 is 3.

GCF(21417,21435) = 3

We will now calculate the prime factors of 21417 and 21435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21417 and 21435.

How to find the GCF of 21417 and 21435?

We will first find the prime factorization of 21417 and 21435. After we will calculate the factors of 21417 and 21435 and find the biggest common factor number .

Step-1: Prime Factorization of 21417

Prime factors of 21417 are 3, 11, 59. Prime factorization of 21417 in exponential form is:

21417 = 3¹ × 11² × 59¹

Step-2: Prime Factorization of 21435

Prime factors of 21435 are 3, 5, 1429. Prime factorization of 21435 in exponential form is:

21435 = 3¹ × 5¹ × 1429¹

Step-3: Factors of 21417

List of positive integer factors of 21417 that divides 21417 without a remainder.

1, 3, 11, 33, 59, 121, 177, 363, 649, 1947, 7139

Step-4: Factors of 21435

List of positive integer factors of 21435 that divides 21417 without a remainder.

1, 3, 5, 15, 1429, 4287, 7145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21417 and 21435. The biggest common factor number is the GCF number.
So the greatest common factor 21417 and 21435 is 3.

Also check out the Least Common Multiple of 21417 and 21435