What is the Greatest Common Factor of 53262 and 53271?

Greatest common factor (GCF) of 53262 and 53271 is 9.

GCF(53262,53271) = 9

We will now calculate the prime factors of 53262 and 53271, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53262 and 53271.

How to find the GCF of 53262 and 53271?

We will first find the prime factorization of 53262 and 53271. After we will calculate the factors of 53262 and 53271 and find the biggest common factor number .

Step-1: Prime Factorization of 53262

Prime factors of 53262 are 2, 3, 11, 269. Prime factorization of 53262 in exponential form is:

53262 = 2¹ × 3² × 11¹ × 269¹

Step-2: Prime Factorization of 53271

Prime factors of 53271 are 3, 1973. Prime factorization of 53271 in exponential form is:

53271 = 3³ × 1973¹

Step-3: Factors of 53262

List of positive integer factors of 53262 that divides 53262 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 269, 538, 807, 1614, 2421, 2959, 4842, 5918, 8877, 17754, 26631

Step-4: Factors of 53271

List of positive integer factors of 53271 that divides 53262 without a remainder.

1, 3, 9, 27, 1973, 5919, 17757

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53262 and 53271. The biggest common factor number is the GCF number.
So the greatest common factor 53262 and 53271 is 9.

Also check out the Least Common Multiple of 53262 and 53271