What is the Greatest Common Factor of 59215 and 59228?

Greatest common factor (GCF) of 59215 and 59228 is 13.

GCF(59215,59228) = 13

We will now calculate the prime factors of 59215 and 59228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59215 and 59228.

How to find the GCF of 59215 and 59228?

We will first find the prime factorization of 59215 and 59228. After we will calculate the factors of 59215 and 59228 and find the biggest common factor number .

Step-1: Prime Factorization of 59215

Prime factors of 59215 are 5, 13, 911. Prime factorization of 59215 in exponential form is:

59215 = 5¹ × 13¹ × 911¹

Step-2: Prime Factorization of 59228

Prime factors of 59228 are 2, 13, 17, 67. Prime factorization of 59228 in exponential form is:

59228 = 2² × 13¹ × 17¹ × 67¹

Step-3: Factors of 59215

List of positive integer factors of 59215 that divides 59215 without a remainder.

1, 5, 13, 65, 911, 4555, 11843

Step-4: Factors of 59228

List of positive integer factors of 59228 that divides 59215 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 67, 68, 134, 221, 268, 442, 871, 884, 1139, 1742, 2278, 3484, 4556, 14807, 29614

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59215 and 59228. The biggest common factor number is the GCF number.
So the greatest common factor 59215 and 59228 is 13.

Also check out the Least Common Multiple of 59215 and 59228