What is the Greatest Common Factor of 59214 and 59228?

Greatest common factor (GCF) of 59214 and 59228 is 2.

GCF(59214,59228) = 2

We will now calculate the prime factors of 59214 and 59228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59214 and 59228.

How to find the GCF of 59214 and 59228?

We will first find the prime factorization of 59214 and 59228. After we will calculate the factors of 59214 and 59228 and find the biggest common factor number .

Step-1: Prime Factorization of 59214

Prime factors of 59214 are 2, 3, 71, 139. Prime factorization of 59214 in exponential form is:

59214 = 2¹ × 3¹ × 71¹ × 139¹

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 59214

List of positive integer factors of 59214 that divides 59214 without a remainder.

1, 2, 3, 6, 71, 139, 142, 213, 278, 417, 426, 834, 9869, 19738, 29607

Step-4: Factors of 59228

List of positive integer factors of 59228 that divides 59214 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 59214 and 59228. The biggest common factor number is the GCF number.
So the greatest common factor 59214 and 59228 is 2.

Also check out the Least Common Multiple of 59214 and 59228