What is the Greatest Common Factor of 63258 and 63269?

Greatest common factor (GCF) of 63258 and 63269 is 1.

GCF(63258,63269) = 1

We will now calculate the prime factors of 63258 and 63269, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63258 and 63269.

How to find the GCF of 63258 and 63269?

We will first find the prime factorization of 63258 and 63269. After we will calculate the factors of 63258 and 63269 and find the biggest common factor number .

Step-1: Prime Factorization of 63258

Prime factors of 63258 are 2, 3, 13, 811. Prime factorization of 63258 in exponential form is:

63258 = 2¹ × 3¹ × 13¹ × 811¹

Step-2: Prime Factorization of 63269

Prime factors of 63269 are 151, 419. Prime factorization of 63269 in exponential form is:

63269 = 151¹ × 419¹

Step-3: Factors of 63258

List of positive integer factors of 63258 that divides 63258 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 811, 1622, 2433, 4866, 10543, 21086, 31629

Step-4: Factors of 63269

List of positive integer factors of 63269 that divides 63258 without a remainder.

1, 151, 419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63258 and 63269. The biggest common factor number is the GCF number.
So the greatest common factor 63258 and 63269 is 1.

Also check out the Least Common Multiple of 63258 and 63269