What is the Greatest Common Factor of 53238 and 53253?

Greatest common factor (GCF) of 53238 and 53253 is 3.

GCF(53238,53253) = 3

We will now calculate the prime factors of 53238 and 53253, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53238 and 53253.

How to find the GCF of 53238 and 53253?

We will first find the prime factorization of 53238 and 53253. After we will calculate the factors of 53238 and 53253 and find the biggest common factor number .

Step-1: Prime Factorization of 53238

Prime factors of 53238 are 2, 3, 19, 467. Prime factorization of 53238 in exponential form is:

53238 = 2¹ × 3¹ × 19¹ × 467¹

Step-2: Prime Factorization of 53253

Prime factors of 53253 are 3, 61, 97. Prime factorization of 53253 in exponential form is:

53253 = 3² × 61¹ × 97¹

Step-3: Factors of 53238

List of positive integer factors of 53238 that divides 53238 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 467, 934, 1401, 2802, 8873, 17746, 26619

Step-4: Factors of 53253

List of positive integer factors of 53253 that divides 53238 without a remainder.

1, 3, 9, 61, 97, 183, 291, 549, 873, 5917, 17751

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53238 and 53253. The biggest common factor number is the GCF number.
So the greatest common factor 53238 and 53253 is 3.

Also check out the Least Common Multiple of 53238 and 53253