What is the Greatest Common Factor of 23052 and 23068?

Greatest common factor (GCF) of 23052 and 23068 is 4.

GCF(23052,23068) = 4

We will now calculate the prime factors of 23052 and 23068, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23052 and 23068.

How to find the GCF of 23052 and 23068?

We will first find the prime factorization of 23052 and 23068. After we will calculate the factors of 23052 and 23068 and find the biggest common factor number .

Step-1: Prime Factorization of 23052

Prime factors of 23052 are 2, 3, 17, 113. Prime factorization of 23052 in exponential form is:

23052 = 2² × 3¹ × 17¹ × 113¹

Step-2: Prime Factorization of 23068

Prime factors of 23068 are 2, 73, 79. Prime factorization of 23068 in exponential form is:

23068 = 2² × 73¹ × 79¹

Step-3: Factors of 23052

List of positive integer factors of 23052 that divides 23052 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 113, 204, 226, 339, 452, 678, 1356, 1921, 3842, 5763, 7684, 11526

Step-4: Factors of 23068

List of positive integer factors of 23068 that divides 23052 without a remainder.

1, 2, 4, 73, 79, 146, 158, 292, 316, 5767, 11534

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23052 and 23068. The biggest common factor number is the GCF number.
So the greatest common factor 23052 and 23068 is 4.

Also check out the Least Common Multiple of 23052 and 23068