What is the Greatest Common Factor of 21490 and 21510?

Greatest common factor (GCF) of 21490 and 21510 is 10.

GCF(21490,21510) = 10

We will now calculate the prime factors of 21490 and 21510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21490 and 21510.

How to find the GCF of 21490 and 21510?

We will first find the prime factorization of 21490 and 21510. After we will calculate the factors of 21490 and 21510 and find the biggest common factor number .

Step-1: Prime Factorization of 21490

Prime factors of 21490 are 2, 5, 7, 307. Prime factorization of 21490 in exponential form is:

21490 = 2¹ × 5¹ × 7¹ × 307¹

Step-2: 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-3: Factors of 21490

List of positive integer factors of 21490 that divides 21490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 307, 614, 1535, 2149, 3070, 4298, 10745

Step-4: Factors of 21510

List of positive integer factors of 21510 that divides 21490 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21490 and 21510. The biggest common factor number is the GCF number.
So the greatest common factor 21490 and 21510 is 10.

Also check out the Least Common Multiple of 21490 and 21510