What is the Greatest Common Factor of 53268 and 53278?

Greatest common factor (GCF) of 53268 and 53278 is 2.

GCF(53268,53278) = 2

We will now calculate the prime factors of 53268 and 53278, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53268 and 53278.

How to find the GCF of 53268 and 53278?

We will first find the prime factorization of 53268 and 53278. After we will calculate the factors of 53268 and 53278 and find the biggest common factor number .

Step-1: Prime Factorization of 53268

Prime factors of 53268 are 2, 3, 23, 193. Prime factorization of 53268 in exponential form is:

53268 = 2² × 3¹ × 23¹ × 193¹

Step-2: Prime Factorization of 53278

Prime factors of 53278 are 2, 17, 1567. Prime factorization of 53278 in exponential form is:

53278 = 2¹ × 17¹ × 1567¹

Step-3: Factors of 53268

List of positive integer factors of 53268 that divides 53268 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 193, 276, 386, 579, 772, 1158, 2316, 4439, 8878, 13317, 17756, 26634

Step-4: Factors of 53278

List of positive integer factors of 53278 that divides 53268 without a remainder.

1, 2, 17, 34, 1567, 3134, 26639

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53268 and 53278. The biggest common factor number is the GCF number.
So the greatest common factor 53268 and 53278 is 2.

Also check out the Least Common Multiple of 53268 and 53278