What is the Greatest Common Factor of 21514 and 21528?

Greatest common factor (GCF) of 21514 and 21528 is 2.

GCF(21514,21528) = 2

We will now calculate the prime factors of 21514 and 21528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21514 and 21528.

How to find the GCF of 21514 and 21528?

We will first find the prime factorization of 21514 and 21528. After we will calculate the factors of 21514 and 21528 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 21528

Prime factors of 21528 are 2, 3, 13, 23. Prime factorization of 21528 in exponential form is:

21528 = 2³ × 3² × 13¹ × 23¹

Step-3: Factors of 21514

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

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

Step-4: Factors of 21528

List of positive integer factors of 21528 that divides 21514 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 23, 24, 26, 36, 39, 46, 52, 69, 72, 78, 92, 104, 117, 138, 156, 184, 207, 234, 276, 299, 312, 414, 468, 552, 598, 828, 897, 936, 1196, 1656, 1794, 2392, 2691, 3588, 5382, 7176, 10764

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21514 and 21528. The biggest common factor number is the GCF number.
So the greatest common factor 21514 and 21528 is 2.

Also check out the Least Common Multiple of 21514 and 21528