What is the Greatest Common Factor of 59290 and 59304?

Greatest common factor (GCF) of 59290 and 59304 is 14.

GCF(59290,59304) = 14

We will now calculate the prime factors of 59290 and 59304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59290 and 59304.

How to find the GCF of 59290 and 59304?

We will first find the prime factorization of 59290 and 59304. After we will calculate the factors of 59290 and 59304 and find the biggest common factor number .

Step-1: Prime Factorization of 59290

Prime factors of 59290 are 2, 5, 7, 11. Prime factorization of 59290 in exponential form is:

59290 = 2¹ × 5¹ × 7² × 11²

Step-2: Prime Factorization of 59304

Prime factors of 59304 are 2, 3, 7, 353. Prime factorization of 59304 in exponential form is:

59304 = 2³ × 3¹ × 7¹ × 353¹

Step-3: Factors of 59290

List of positive integer factors of 59290 that divides 59290 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 49, 55, 70, 77, 98, 110, 121, 154, 242, 245, 385, 490, 539, 605, 770, 847, 1078, 1210, 1694, 2695, 4235, 5390, 5929, 8470, 11858, 29645

Step-4: Factors of 59304

List of positive integer factors of 59304 that divides 59290 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 353, 706, 1059, 1412, 2118, 2471, 2824, 4236, 4942, 7413, 8472, 9884, 14826, 19768, 29652

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59290 and 59304. The biggest common factor number is the GCF number.
So the greatest common factor 59290 and 59304 is 14.

Also check out the Least Common Multiple of 59290 and 59304