What is the Greatest Common Factor of 53251 and 53262?

Greatest common factor (GCF) of 53251 and 53262 is 11.

GCF(53251,53262) = 11

We will now calculate the prime factors of 53251 and 53262, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53251 and 53262.

How to find the GCF of 53251 and 53262?

We will first find the prime factorization of 53251 and 53262. After we will calculate the factors of 53251 and 53262 and find the biggest common factor number .

Step-1: Prime Factorization of 53251

Prime factors of 53251 are 11, 47, 103. Prime factorization of 53251 in exponential form is:

53251 = 11¹ × 47¹ × 103¹

Step-2: 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-3: Factors of 53251

List of positive integer factors of 53251 that divides 53251 without a remainder.

1, 11, 47, 103, 517, 1133, 4841

Step-4: Factors of 53262

List of positive integer factors of 53262 that divides 53251 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53251 and 53262. The biggest common factor number is the GCF number.
So the greatest common factor 53251 and 53262 is 11.

Also check out the Least Common Multiple of 53251 and 53262