What is the Greatest Common Factor of 58288 and 58292?

Greatest common factor (GCF) of 58288 and 58292 is 4.

GCF(58288,58292) = 4

We will now calculate the prime factors of 58288 and 58292, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58288 and 58292.

How to find the GCF of 58288 and 58292?

We will first find the prime factorization of 58288 and 58292. After we will calculate the factors of 58288 and 58292 and find the biggest common factor number .

Step-1: Prime Factorization of 58288

Prime factors of 58288 are 2, 3643. Prime factorization of 58288 in exponential form is:

58288 = 2⁴ × 3643¹

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 58288

List of positive integer factors of 58288 that divides 58288 without a remainder.

1, 2, 4, 8, 16, 3643, 7286, 14572, 29144

Step-4: Factors of 58292

List of positive integer factors of 58292 that divides 58288 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 58288 and 58292. The biggest common factor number is the GCF number.
So the greatest common factor 58288 and 58292 is 4.

Also check out the Least Common Multiple of 58288 and 58292