What is the Greatest Common Factor of 52255 and 52269?

Greatest common factor (GCF) of 52255 and 52269 is 7.

GCF(52255,52269) = 7

We will now calculate the prime factors of 52255 and 52269, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52255 and 52269.

How to find the GCF of 52255 and 52269?

We will first find the prime factorization of 52255 and 52269. After we will calculate the factors of 52255 and 52269 and find the biggest common factor number .

Step-1: Prime Factorization of 52255

Prime factors of 52255 are 5, 7, 1493. Prime factorization of 52255 in exponential form is:

52255 = 5¹ × 7¹ × 1493¹

Step-2: 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-3: Factors of 52255

List of positive integer factors of 52255 that divides 52255 without a remainder.

1, 5, 7, 35, 1493, 7465, 10451

Step-4: Factors of 52269

List of positive integer factors of 52269 that divides 52255 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52255 and 52269. The biggest common factor number is the GCF number.
So the greatest common factor 52255 and 52269 is 7.

Also check out the Least Common Multiple of 52255 and 52269