What is the Greatest Common Factor of 59292 and 59299?

Greatest common factor (GCF) of 59292 and 59299 is 1.

GCF(59292,59299) = 1

We will now calculate the prime factors of 59292 and 59299, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59292 and 59299.

How to find the GCF of 59292 and 59299?

We will first find the prime factorization of 59292 and 59299. After we will calculate the factors of 59292 and 59299 and find the biggest common factor number .

Step-1: Prime Factorization of 59292

Prime factors of 59292 are 2, 3, 61. Prime factorization of 59292 in exponential form is:

59292 = 2² × 3⁵ × 61¹

Step-2: Prime Factorization of 59299

Prime factors of 59299 are 19, 3121. Prime factorization of 59299 in exponential form is:

59299 = 19¹ × 3121¹

Step-3: Factors of 59292

List of positive integer factors of 59292 that divides 59292 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 61, 81, 108, 122, 162, 183, 243, 244, 324, 366, 486, 549, 732, 972, 1098, 1647, 2196, 3294, 4941, 6588, 9882, 14823, 19764, 29646

Step-4: Factors of 59299

List of positive integer factors of 59299 that divides 59292 without a remainder.

1, 19, 3121

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59292 and 59299. The biggest common factor number is the GCF number.
So the greatest common factor 59292 and 59299 is 1.

Also check out the Least Common Multiple of 59292 and 59299