What is the Greatest Common Factor of 21510 and 21514?

Greatest common factor (GCF) of 21510 and 21514 is 2.

GCF(21510,21514) = 2

We will now calculate the prime factors of 21510 and 21514, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21510 and 21514.

How to find the GCF of 21510 and 21514?

We will first find the prime factorization of 21510 and 21514. After we will calculate the factors of 21510 and 21514 and find the biggest common factor number .

Step-1: Prime Factorization of 21510

Prime factors of 21510 are 2, 3, 5, 239. Prime factorization of 21510 in exponential form is:

21510 = 2¹ × 3² × 5¹ × 239¹

Step-2: Prime Factorization of 21514

Prime factors of 21514 are 2, 31, 347. Prime factorization of 21514 in exponential form is:

21514 = 2¹ × 31¹ × 347¹

Step-3: Factors of 21510

List of positive integer factors of 21510 that divides 21510 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 239, 478, 717, 1195, 1434, 2151, 2390, 3585, 4302, 7170, 10755

Step-4: Factors of 21514

List of positive integer factors of 21514 that divides 21510 without a remainder.

1, 2, 31, 62, 347, 694, 10757

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21510 and 21514. The biggest common factor number is the GCF number.
So the greatest common factor 21510 and 21514 is 2.

Also check out the Least Common Multiple of 21510 and 21514