What is the Greatest Common Factor of 58284 and 58292?

Greatest common factor (GCF) of 58284 and 58292 is 4.

GCF(58284,58292) = 4

We will now calculate the prime factors of 58284 and 58292, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58284 and 58292.

How to find the GCF of 58284 and 58292?

We will first find the prime factorization of 58284 and 58292. After we will calculate the factors of 58284 and 58292 and find the biggest common factor number .

Step-1: Prime Factorization of 58284

Prime factors of 58284 are 2, 3, 1619. Prime factorization of 58284 in exponential form is:

58284 = 2² × 3² × 1619¹

Step-2: Prime Factorization of 58292

Prime factors of 58292 are 2, 13, 19, 59. Prime factorization of 58292 in exponential form is:

58292 = 2² × 13¹ × 19¹ × 59¹

Step-3: Factors of 58284

List of positive integer factors of 58284 that divides 58284 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1619, 3238, 4857, 6476, 9714, 14571, 19428, 29142

Step-4: Factors of 58292

List of positive integer factors of 58292 that divides 58284 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 59, 76, 118, 236, 247, 494, 767, 988, 1121, 1534, 2242, 3068, 4484, 14573, 29146

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58284 and 58292. The biggest common factor number is the GCF number.
So the greatest common factor 58284 and 58292 is 4.

Also check out the Least Common Multiple of 58284 and 58292