What is the Greatest Common Factor of 21895 and 21900?

Greatest common factor (GCF) of 21895 and 21900 is 5.

GCF(21895,21900) = 5

We will now calculate the prime factors of 21895 and 21900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21895 and 21900.

How to find the GCF of 21895 and 21900?

We will first find the prime factorization of 21895 and 21900. After we will calculate the factors of 21895 and 21900 and find the biggest common factor number .

Step-1: Prime Factorization of 21895

Prime factors of 21895 are 5, 29, 151. Prime factorization of 21895 in exponential form is:

21895 = 5¹ × 29¹ × 151¹

Step-2: Prime Factorization of 21900

Prime factors of 21900 are 2, 3, 5, 73. Prime factorization of 21900 in exponential form is:

21900 = 2² × 3¹ × 5² × 73¹

Step-3: Factors of 21895

List of positive integer factors of 21895 that divides 21895 without a remainder.

1, 5, 29, 145, 151, 755, 4379

Step-4: Factors of 21900

List of positive integer factors of 21900 that divides 21895 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 73, 75, 100, 146, 150, 219, 292, 300, 365, 438, 730, 876, 1095, 1460, 1825, 2190, 3650, 4380, 5475, 7300, 10950

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21895 and 21900. The biggest common factor number is the GCF number.
So the greatest common factor 21895 and 21900 is 5.

Also check out the Least Common Multiple of 21895 and 21900