What is the Greatest Common Factor of 59202 and 59214?

Greatest common factor (GCF) of 59202 and 59214 is 6.

GCF(59202,59214) = 6

We will now calculate the prime factors of 59202 and 59214, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59202 and 59214.

How to find the GCF of 59202 and 59214?

We will first find the prime factorization of 59202 and 59214. After we will calculate the factors of 59202 and 59214 and find the biggest common factor number .

Step-1: Prime Factorization of 59202

Prime factors of 59202 are 2, 3, 11, 13, 23. Prime factorization of 59202 in exponential form is:

59202 = 2¹ × 3² × 11¹ × 13¹ × 23¹

Step-2: 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-3: Factors of 59202

List of positive integer factors of 59202 that divides 59202 without a remainder.

1, 2, 3, 6, 9, 11, 13, 18, 22, 23, 26, 33, 39, 46, 66, 69, 78, 99, 117, 138, 143, 198, 207, 234, 253, 286, 299, 414, 429, 506, 598, 759, 858, 897, 1287, 1518, 1794, 2277, 2574, 2691, 3289, 4554, 5382, 6578, 9867, 19734, 29601

Step-4: Factors of 59214

List of positive integer factors of 59214 that divides 59202 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59202 and 59214. The biggest common factor number is the GCF number.
So the greatest common factor 59202 and 59214 is 6.

Also check out the Least Common Multiple of 59202 and 59214