What is the Greatest Common Factor of 21570 and 21590?

Greatest common factor (GCF) of 21570 and 21590 is 10.

GCF(21570,21590) = 10

We will now calculate the prime factors of 21570 and 21590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21570 and 21590.

How to find the GCF of 21570 and 21590?

We will first find the prime factorization of 21570 and 21590. After we will calculate the factors of 21570 and 21590 and find the biggest common factor number .

Step-1: Prime Factorization of 21570

Prime factors of 21570 are 2, 3, 5, 719. Prime factorization of 21570 in exponential form is:

21570 = 2¹ × 3¹ × 5¹ × 719¹

Step-2: Prime Factorization of 21590

Prime factors of 21590 are 2, 5, 17, 127. Prime factorization of 21590 in exponential form is:

21590 = 2¹ × 5¹ × 17¹ × 127¹

Step-3: Factors of 21570

List of positive integer factors of 21570 that divides 21570 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 719, 1438, 2157, 3595, 4314, 7190, 10785

Step-4: Factors of 21590

List of positive integer factors of 21590 that divides 21570 without a remainder.

1, 2, 5, 10, 17, 34, 85, 127, 170, 254, 635, 1270, 2159, 4318, 10795

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21570 and 21590. The biggest common factor number is the GCF number.
So the greatest common factor 21570 and 21590 is 10.

Also check out the Least Common Multiple of 21570 and 21590