What is the Greatest Common Factor of 21488 and 21495?

Greatest common factor (GCF) of 21488 and 21495 is 1.

GCF(21488,21495) = 1

We will now calculate the prime factors of 21488 and 21495, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21488 and 21495.

How to find the GCF of 21488 and 21495?

We will first find the prime factorization of 21488 and 21495. After we will calculate the factors of 21488 and 21495 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 21495

Prime factors of 21495 are 3, 5, 1433. Prime factorization of 21495 in exponential form is:

21495 = 3¹ × 5¹ × 1433¹

Step-3: Factors of 21488

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

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

Step-4: Factors of 21495

List of positive integer factors of 21495 that divides 21488 without a remainder.

1, 3, 5, 15, 1433, 4299, 7165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21488 and 21495. The biggest common factor number is the GCF number.
So the greatest common factor 21488 and 21495 is 1.

Also check out the Least Common Multiple of 21488 and 21495