What is the Greatest Common Factor of 58292 and 58305?

Greatest common factor (GCF) of 58292 and 58305 is 13.

GCF(58292,58305) = 13

We will now calculate the prime factors of 58292 and 58305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58292 and 58305.

How to find the GCF of 58292 and 58305?

We will first find the prime factorization of 58292 and 58305. After we will calculate the factors of 58292 and 58305 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 58305

Prime factors of 58305 are 3, 5, 13, 23. Prime factorization of 58305 in exponential form is:

58305 = 3¹ × 5¹ × 13² × 23¹

Step-3: Factors of 58292

List of positive integer factors of 58292 that divides 58292 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

Step-4: Factors of 58305

List of positive integer factors of 58305 that divides 58292 without a remainder.

1, 3, 5, 13, 15, 23, 39, 65, 69, 115, 169, 195, 299, 345, 507, 845, 897, 1495, 2535, 3887, 4485, 11661, 19435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58292 and 58305. The biggest common factor number is the GCF number.
So the greatest common factor 58292 and 58305 is 13.

Also check out the Least Common Multiple of 58292 and 58305