What is the Greatest Common Factor of 21625 and 21641?

Greatest common factor (GCF) of 21625 and 21641 is 1.

GCF(21625,21641) = 1

We will now calculate the prime factors of 21625 and 21641, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21625 and 21641.

How to find the GCF of 21625 and 21641?

We will first find the prime factorization of 21625 and 21641. After we will calculate the factors of 21625 and 21641 and find the biggest common factor number .

Step-1: Prime Factorization of 21625

Prime factors of 21625 are 5, 173. Prime factorization of 21625 in exponential form is:

21625 = 5³ × 173¹

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 21625

List of positive integer factors of 21625 that divides 21625 without a remainder.

1, 5, 25, 125, 173, 865, 4325

Step-4: Factors of 21641

List of positive integer factors of 21641 that divides 21625 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21625 and 21641. The biggest common factor number is the GCF number.
So the greatest common factor 21625 and 21641 is 1.

Also check out the Least Common Multiple of 21625 and 21641