What is the Greatest Common Factor of 23051 and 23058?

Greatest common factor (GCF) of 23051 and 23058 is 7.

GCF(23051,23058) = 7

We will now calculate the prime factors of 23051 and 23058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23051 and 23058.

How to find the GCF of 23051 and 23058?

We will first find the prime factorization of 23051 and 23058. After we will calculate the factors of 23051 and 23058 and find the biggest common factor number .

Step-1: Prime Factorization of 23051

Prime factors of 23051 are 7, 37, 89. Prime factorization of 23051 in exponential form is:

23051 = 7¹ × 37¹ × 89¹

Step-2: 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-3: Factors of 23051

List of positive integer factors of 23051 that divides 23051 without a remainder.

1, 7, 37, 89, 259, 623, 3293

Step-4: Factors of 23058

List of positive integer factors of 23058 that divides 23051 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23051 and 23058. The biggest common factor number is the GCF number.
So the greatest common factor 23051 and 23058 is 7.

Also check out the Least Common Multiple of 23051 and 23058