What is the Greatest Common Factor of 21535 and 21550?

Greatest common factor (GCF) of 21535 and 21550 is 5.

GCF(21535,21550) = 5

We will now calculate the prime factors of 21535 and 21550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21535 and 21550.

How to find the GCF of 21535 and 21550?

We will first find the prime factorization of 21535 and 21550. After we will calculate the factors of 21535 and 21550 and find the biggest common factor number .

Step-1: Prime Factorization of 21535

Prime factors of 21535 are 5, 59, 73. Prime factorization of 21535 in exponential form is:

21535 = 5¹ × 59¹ × 73¹

Step-2: Prime Factorization of 21550

Prime factors of 21550 are 2, 5, 431. Prime factorization of 21550 in exponential form is:

21550 = 2¹ × 5² × 431¹

Step-3: Factors of 21535

List of positive integer factors of 21535 that divides 21535 without a remainder.

1, 5, 59, 73, 295, 365, 4307

Step-4: Factors of 21550

List of positive integer factors of 21550 that divides 21535 without a remainder.

1, 2, 5, 10, 25, 50, 431, 862, 2155, 4310, 10775

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21535 and 21550. The biggest common factor number is the GCF number.
So the greatest common factor 21535 and 21550 is 5.

Also check out the Least Common Multiple of 21535 and 21550