What is the Greatest Common Factor of 23758 and 23772?

Greatest common factor (GCF) of 23758 and 23772 is 14.

GCF(23758,23772) = 14

We will now calculate the prime factors of 23758 and 23772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23758 and 23772.

How to find the GCF of 23758 and 23772?

We will first find the prime factorization of 23758 and 23772. After we will calculate the factors of 23758 and 23772 and find the biggest common factor number .

Step-1: Prime Factorization of 23758

Prime factors of 23758 are 2, 7, 1697. Prime factorization of 23758 in exponential form is:

23758 = 2¹ × 7¹ × 1697¹

Step-2: Prime Factorization of 23772

Prime factors of 23772 are 2, 3, 7, 283. Prime factorization of 23772 in exponential form is:

23772 = 2² × 3¹ × 7¹ × 283¹

Step-3: Factors of 23758

List of positive integer factors of 23758 that divides 23758 without a remainder.

1, 2, 7, 14, 1697, 3394, 11879

Step-4: Factors of 23772

List of positive integer factors of 23772 that divides 23758 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 283, 566, 849, 1132, 1698, 1981, 3396, 3962, 5943, 7924, 11886

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23758 and 23772. The biggest common factor number is the GCF number.
So the greatest common factor 23758 and 23772 is 14.

Also check out the Least Common Multiple of 23758 and 23772