What is the Greatest Common Factor of 32058 and 32069?

Greatest common factor (GCF) of 32058 and 32069 is 1.

GCF(32058,32069) = 1

We will now calculate the prime factors of 32058 and 32069, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32058 and 32069.

How to find the GCF of 32058 and 32069?

We will first find the prime factorization of 32058 and 32069. After we will calculate the factors of 32058 and 32069 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 32069

Prime factors of 32069 are 32069. Prime factorization of 32069 in exponential form is:

32069 = 32069¹

Step-3: Factors of 32058

List of positive integer factors of 32058 that divides 32058 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

Step-4: Factors of 32069

List of positive integer factors of 32069 that divides 32058 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32058 and 32069. The biggest common factor number is the GCF number.
So the greatest common factor 32058 and 32069 is 1.

Also check out the Least Common Multiple of 32058 and 32069