What is the Greatest Common Factor of 58029 and 58035?

Greatest common factor (GCF) of 58029 and 58035 is 3.

GCF(58029,58035) = 3

We will now calculate the prime factors of 58029 and 58035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58029 and 58035.

How to find the GCF of 58029 and 58035?

We will first find the prime factorization of 58029 and 58035. After we will calculate the factors of 58029 and 58035 and find the biggest common factor number .

Step-1: Prime Factorization of 58029

Prime factors of 58029 are 3, 23, 29. Prime factorization of 58029 in exponential form is:

58029 = 3¹ × 23¹ × 29²

Step-2: Prime Factorization of 58035

Prime factors of 58035 are 3, 5, 53, 73. Prime factorization of 58035 in exponential form is:

58035 = 3¹ × 5¹ × 53¹ × 73¹

Step-3: Factors of 58029

List of positive integer factors of 58029 that divides 58029 without a remainder.

1, 3, 23, 29, 69, 87, 667, 841, 2001, 2523, 19343

Step-4: Factors of 58035

List of positive integer factors of 58035 that divides 58029 without a remainder.

1, 3, 5, 15, 53, 73, 159, 219, 265, 365, 795, 1095, 3869, 11607, 19345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58029 and 58035. The biggest common factor number is the GCF number.
So the greatest common factor 58029 and 58035 is 3.

Also check out the Least Common Multiple of 58029 and 58035