What is the Greatest Common Factor of 52269 and 52288?

Greatest common factor (GCF) of 52269 and 52288 is 19.

GCF(52269,52288) = 19

We will now calculate the prime factors of 52269 and 52288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52269 and 52288.

How to find the GCF of 52269 and 52288?

We will first find the prime factorization of 52269 and 52288. After we will calculate the factors of 52269 and 52288 and find the biggest common factor number .

Step-1: Prime Factorization of 52269

Prime factors of 52269 are 3, 7, 19, 131. Prime factorization of 52269 in exponential form is:

52269 = 3¹ × 7¹ × 19¹ × 131¹

Step-2: Prime Factorization of 52288

Prime factors of 52288 are 2, 19, 43. Prime factorization of 52288 in exponential form is:

52288 = 2⁶ × 19¹ × 43¹

Step-3: Factors of 52269

List of positive integer factors of 52269 that divides 52269 without a remainder.

1, 3, 7, 19, 21, 57, 131, 133, 393, 399, 917, 2489, 2751, 7467, 17423

Step-4: Factors of 52288

List of positive integer factors of 52288 that divides 52269 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 43, 64, 76, 86, 152, 172, 304, 344, 608, 688, 817, 1216, 1376, 1634, 2752, 3268, 6536, 13072, 26144

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52269 and 52288. The biggest common factor number is the GCF number.
So the greatest common factor 52269 and 52288 is 19.

Also check out the Least Common Multiple of 52269 and 52288