What is the Greatest Common Factor of 21945 and 21961?

Greatest common factor (GCF) of 21945 and 21961 is 1.

GCF(21945,21961) = 1

We will now calculate the prime factors of 21945 and 21961, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21945 and 21961.

How to find the GCF of 21945 and 21961?

We will first find the prime factorization of 21945 and 21961. After we will calculate the factors of 21945 and 21961 and find the biggest common factor number .

Step-1: Prime Factorization of 21945

Prime factors of 21945 are 3, 5, 7, 11, 19. Prime factorization of 21945 in exponential form is:

21945 = 3¹ × 5¹ × 7¹ × 11¹ × 19¹

Step-2: Prime Factorization of 21961

Prime factors of 21961 are 21961. Prime factorization of 21961 in exponential form is:

21961 = 21961¹

Step-3: Factors of 21945

List of positive integer factors of 21945 that divides 21945 without a remainder.

1, 3, 5, 7, 11, 15, 19, 21, 33, 35, 55, 57, 77, 95, 105, 133, 165, 209, 231, 285, 385, 399, 627, 665, 1045, 1155, 1463, 1995, 3135, 4389, 7315

Step-4: Factors of 21961

List of positive integer factors of 21961 that divides 21945 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21945 and 21961. The biggest common factor number is the GCF number.
So the greatest common factor 21945 and 21961 is 1.

Also check out the Least Common Multiple of 21945 and 21961