What is the Greatest Common Factor of 32054 and 32058?

Greatest common factor (GCF) of 32054 and 32058 is 2.

GCF(32054,32058) = 2

We will now calculate the prime factors of 32054 and 32058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32054 and 32058.

How to find the GCF of 32054 and 32058?

We will first find the prime factorization of 32054 and 32058. After we will calculate the factors of 32054 and 32058 and find the biggest common factor number .

Step-1: Prime Factorization of 32054

Prime factors of 32054 are 2, 11, 31, 47. Prime factorization of 32054 in exponential form is:

32054 = 2¹ × 11¹ × 31¹ × 47¹

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 32054

List of positive integer factors of 32054 that divides 32054 without a remainder.

1, 2, 11, 22, 31, 47, 62, 94, 341, 517, 682, 1034, 1457, 2914, 16027

Step-4: Factors of 32058

List of positive integer factors of 32058 that divides 32054 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 32054 and 32058. The biggest common factor number is the GCF number.
So the greatest common factor 32054 and 32058 is 2.

Also check out the Least Common Multiple of 32054 and 32058