What is the Greatest Common Factor of 23058 and 23076?

Greatest common factor (GCF) of 23058 and 23076 is 18.

GCF(23058,23076) = 18

We will now calculate the prime factors of 23058 and 23076, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23058 and 23076.

How to find the GCF of 23058 and 23076?

We will first find the prime factorization of 23058 and 23076. After we will calculate the factors of 23058 and 23076 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 23076

Prime factors of 23076 are 2, 3, 641. Prime factorization of 23076 in exponential form is:

23076 = 2² × 3² × 641¹

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 23076

List of positive integer factors of 23076 that divides 23058 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 641, 1282, 1923, 2564, 3846, 5769, 7692, 11538

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23058 and 23076. The biggest common factor number is the GCF number.
So the greatest common factor 23058 and 23076 is 18.

Also check out the Least Common Multiple of 23058 and 23076