What is the Greatest Common Factor of 53258 and 53262?

Greatest common factor (GCF) of 53258 and 53262 is 2.

GCF(53258,53262) = 2

We will now calculate the prime factors of 53258 and 53262, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53258 and 53262.

How to find the GCF of 53258 and 53262?

We will first find the prime factorization of 53258 and 53262. After we will calculate the factors of 53258 and 53262 and find the biggest common factor number .

Step-1: Prime Factorization of 53258

Prime factors of 53258 are 2, 31, 859. Prime factorization of 53258 in exponential form is:

53258 = 2¹ × 31¹ × 859¹

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 53258

List of positive integer factors of 53258 that divides 53258 without a remainder.

1, 2, 31, 62, 859, 1718, 26629

Step-4: Factors of 53262

List of positive integer factors of 53262 that divides 53258 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 53258 and 53262. The biggest common factor number is the GCF number.
So the greatest common factor 53258 and 53262 is 2.

Also check out the Least Common Multiple of 53258 and 53262