What is the Greatest Common Factor of 21497 and 21505?

Greatest common factor (GCF) of 21497 and 21505 is 1.

GCF(21497,21505) = 1

We will now calculate the prime factors of 21497 and 21505, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21497 and 21505.

How to find the GCF of 21497 and 21505?

We will first find the prime factorization of 21497 and 21505. After we will calculate the factors of 21497 and 21505 and find the biggest common factor number .

Step-1: Prime Factorization of 21497

Prime factors of 21497 are 7, 37, 83. Prime factorization of 21497 in exponential form is:

21497 = 7¹ × 37¹ × 83¹

Step-2: Prime Factorization of 21505

Prime factors of 21505 are 5, 11, 17, 23. Prime factorization of 21505 in exponential form is:

21505 = 5¹ × 11¹ × 17¹ × 23¹

Step-3: Factors of 21497

List of positive integer factors of 21497 that divides 21497 without a remainder.

1, 7, 37, 83, 259, 581, 3071

Step-4: Factors of 21505

List of positive integer factors of 21505 that divides 21497 without a remainder.

1, 5, 11, 17, 23, 55, 85, 115, 187, 253, 391, 935, 1265, 1955, 4301

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21497 and 21505. The biggest common factor number is the GCF number.
So the greatest common factor 21497 and 21505 is 1.

Also check out the Least Common Multiple of 21497 and 21505