What is the Greatest Common Factor of 32045 and 32058?

Greatest common factor (GCF) of 32045 and 32058 is 13.

GCF(32045,32058) = 13

We will now calculate the prime factors of 32045 and 32058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32045 and 32058.

How to find the GCF of 32045 and 32058?

We will first find the prime factorization of 32045 and 32058. After we will calculate the factors of 32045 and 32058 and find the biggest common factor number .

Step-1: Prime Factorization of 32045

Prime factors of 32045 are 5, 13, 17, 29. Prime factorization of 32045 in exponential form is:

32045 = 5¹ × 13¹ × 17¹ × 29¹

Step-2: Prime Factorization of 32058

Prime factors of 32058 are 2, 3, 13, 137. Prime factorization of 32058 in exponential form is:

32058 = 2¹ × 3² × 13¹ × 137¹

Step-3: Factors of 32045

List of positive integer factors of 32045 that divides 32045 without a remainder.

1, 5, 13, 17, 29, 65, 85, 145, 221, 377, 493, 1105, 1885, 2465, 6409

Step-4: Factors of 32058

List of positive integer factors of 32058 that divides 32045 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 137, 234, 274, 411, 822, 1233, 1781, 2466, 3562, 5343, 10686, 16029

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32045 and 32058. The biggest common factor number is the GCF number.
So the greatest common factor 32045 and 32058 is 13.

Also check out the Least Common Multiple of 32045 and 32058