What is the Greatest Common Factor of 59295 and 59313?

Greatest common factor (GCF) of 59295 and 59313 is 3.

GCF(59295,59313) = 3

We will now calculate the prime factors of 59295 and 59313, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59295 and 59313.

How to find the GCF of 59295 and 59313?

We will first find the prime factorization of 59295 and 59313. After we will calculate the factors of 59295 and 59313 and find the biggest common factor number .

Step-1: Prime Factorization of 59295

Prime factors of 59295 are 3, 5, 59, 67. Prime factorization of 59295 in exponential form is:

59295 = 3¹ × 5¹ × 59¹ × 67¹

Step-2: Prime Factorization of 59313

Prime factors of 59313 are 3, 17, 1163. Prime factorization of 59313 in exponential form is:

59313 = 3¹ × 17¹ × 1163¹

Step-3: Factors of 59295

List of positive integer factors of 59295 that divides 59295 without a remainder.

1, 3, 5, 15, 59, 67, 177, 201, 295, 335, 885, 1005, 3953, 11859, 19765

Step-4: Factors of 59313

List of positive integer factors of 59313 that divides 59295 without a remainder.

1, 3, 17, 51, 1163, 3489, 19771

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59295 and 59313. The biggest common factor number is the GCF number.
So the greatest common factor 59295 and 59313 is 3.

Also check out the Least Common Multiple of 59295 and 59313