What is the Greatest Common Factor of 21252 and 21259?

Greatest common factor (GCF) of 21252 and 21259 is 7.

GCF(21252,21259) = 7

We will now calculate the prime factors of 21252 and 21259, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21252 and 21259.

How to find the GCF of 21252 and 21259?

We will first find the prime factorization of 21252 and 21259. After we will calculate the factors of 21252 and 21259 and find the biggest common factor number .

Step-1: Prime Factorization of 21252

Prime factors of 21252 are 2, 3, 7, 11, 23. Prime factorization of 21252 in exponential form is:

21252 = 2² × 3¹ × 7¹ × 11¹ × 23¹

Step-2: Prime Factorization of 21259

Prime factors of 21259 are 7, 3037. Prime factorization of 21259 in exponential form is:

21259 = 7¹ × 3037¹

Step-3: Factors of 21252

List of positive integer factors of 21252 that divides 21252 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 23, 28, 33, 42, 44, 46, 66, 69, 77, 84, 92, 132, 138, 154, 161, 231, 253, 276, 308, 322, 462, 483, 506, 644, 759, 924, 966, 1012, 1518, 1771, 1932, 3036, 3542, 5313, 7084, 10626

Step-4: Factors of 21259

List of positive integer factors of 21259 that divides 21252 without a remainder.

1, 7, 3037

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21252 and 21259. The biggest common factor number is the GCF number.
So the greatest common factor 21252 and 21259 is 7.

Also check out the Least Common Multiple of 21252 and 21259