What is the Greatest Common Factor of 21622 and 21641?

Greatest common factor (GCF) of 21622 and 21641 is 19.

GCF(21622,21641) = 19

We will now calculate the prime factors of 21622 and 21641, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21622 and 21641.

How to find the GCF of 21622 and 21641?

We will first find the prime factorization of 21622 and 21641. After we will calculate the factors of 21622 and 21641 and find the biggest common factor number .

Step-1: Prime Factorization of 21622

Prime factors of 21622 are 2, 19, 569. Prime factorization of 21622 in exponential form is:

21622 = 2¹ × 19¹ × 569¹

Step-2: Prime Factorization of 21641

Prime factors of 21641 are 17, 19, 67. Prime factorization of 21641 in exponential form is:

21641 = 17¹ × 19¹ × 67¹

Step-3: Factors of 21622

List of positive integer factors of 21622 that divides 21622 without a remainder.

1, 2, 19, 38, 569, 1138, 10811

Step-4: Factors of 21641

List of positive integer factors of 21641 that divides 21622 without a remainder.

1, 17, 19, 67, 323, 1139, 1273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21622 and 21641. The biggest common factor number is the GCF number.
So the greatest common factor 21622 and 21641 is 19.

Also check out the Least Common Multiple of 21622 and 21641