What is the Greatest Common Factor of 21471 and 21488?

Greatest common factor (GCF) of 21471 and 21488 is 17.

GCF(21471,21488) = 17

We will now calculate the prime factors of 21471 and 21488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21471 and 21488.

How to find the GCF of 21471 and 21488?

We will first find the prime factorization of 21471 and 21488. After we will calculate the factors of 21471 and 21488 and find the biggest common factor number .

Step-1: Prime Factorization of 21471

Prime factors of 21471 are 3, 17, 421. Prime factorization of 21471 in exponential form is:

21471 = 3¹ × 17¹ × 421¹

Step-2: Prime Factorization of 21488

Prime factors of 21488 are 2, 17, 79. Prime factorization of 21488 in exponential form is:

21488 = 2⁴ × 17¹ × 79¹

Step-3: Factors of 21471

List of positive integer factors of 21471 that divides 21471 without a remainder.

1, 3, 17, 51, 421, 1263, 7157

Step-4: Factors of 21488

List of positive integer factors of 21488 that divides 21471 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 79, 136, 158, 272, 316, 632, 1264, 1343, 2686, 5372, 10744

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21471 and 21488. The biggest common factor number is the GCF number.
So the greatest common factor 21471 and 21488 is 17.

Also check out the Least Common Multiple of 21471 and 21488