What is the Greatest Common Factor of 18758 and 18766?

Greatest common factor (GCF) of 18758 and 18766 is 2.

GCF(18758,18766) = 2

We will now calculate the prime factors of 18758 and 18766, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18758 and 18766.

How to find the GCF of 18758 and 18766?

We will first find the prime factorization of 18758 and 18766. After we will calculate the factors of 18758 and 18766 and find the biggest common factor number .

Step-1: Prime Factorization of 18758

Prime factors of 18758 are 2, 83, 113. Prime factorization of 18758 in exponential form is:

18758 = 2¹ × 83¹ × 113¹

Step-2: Prime Factorization of 18766

Prime factors of 18766 are 2, 11, 853. Prime factorization of 18766 in exponential form is:

18766 = 2¹ × 11¹ × 853¹

Step-3: Factors of 18758

List of positive integer factors of 18758 that divides 18758 without a remainder.

1, 2, 83, 113, 166, 226, 9379

Step-4: Factors of 18766

List of positive integer factors of 18766 that divides 18758 without a remainder.

1, 2, 11, 22, 853, 1706, 9383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18758 and 18766. The biggest common factor number is the GCF number.
So the greatest common factor 18758 and 18766 is 2.

Also check out the Least Common Multiple of 18758 and 18766