What is the Greatest Common Factor of 23058 and 23075?

Greatest common factor (GCF) of 23058 and 23075 is 1.

GCF(23058,23075) = 1

We will now calculate the prime factors of 23058 and 23075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23058 and 23075.

How to find the GCF of 23058 and 23075?

We will first find the prime factorization of 23058 and 23075. After we will calculate the factors of 23058 and 23075 and find the biggest common factor number .

Step-1: Prime Factorization of 23058

Prime factors of 23058 are 2, 3, 7, 61. Prime factorization of 23058 in exponential form is:

23058 = 2¹ × 3³ × 7¹ × 61¹

Step-2: Prime Factorization of 23075

Prime factors of 23075 are 5, 13, 71. Prime factorization of 23075 in exponential form is:

23075 = 5² × 13¹ × 71¹

Step-3: Factors of 23058

List of positive integer factors of 23058 that divides 23058 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 61, 63, 122, 126, 183, 189, 366, 378, 427, 549, 854, 1098, 1281, 1647, 2562, 3294, 3843, 7686, 11529

Step-4: Factors of 23075

List of positive integer factors of 23075 that divides 23058 without a remainder.

1, 5, 13, 25, 65, 71, 325, 355, 923, 1775, 4615

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23058 and 23075. The biggest common factor number is the GCF number.
So the greatest common factor 23058 and 23075 is 1.

Also check out the Least Common Multiple of 23058 and 23075