What is the Greatest Common Factor of 18762 and 18767?

Greatest common factor (GCF) of 18762 and 18767 is 1.

GCF(18762,18767) = 1

We will now calculate the prime factors of 18762 and 18767, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18762 and 18767.

How to find the GCF of 18762 and 18767?

We will first find the prime factorization of 18762 and 18767. After we will calculate the factors of 18762 and 18767 and find the biggest common factor number .

Step-1: Prime Factorization of 18762

Prime factors of 18762 are 2, 3, 53, 59. Prime factorization of 18762 in exponential form is:

18762 = 2¹ × 3¹ × 53¹ × 59¹

Step-2: Prime Factorization of 18767

Prime factors of 18767 are 7, 383. Prime factorization of 18767 in exponential form is:

18767 = 7² × 383¹

Step-3: Factors of 18762

List of positive integer factors of 18762 that divides 18762 without a remainder.

1, 2, 3, 6, 53, 59, 106, 118, 159, 177, 318, 354, 3127, 6254, 9381

Step-4: Factors of 18767

List of positive integer factors of 18767 that divides 18762 without a remainder.

1, 7, 49, 383, 2681

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18762 and 18767. The biggest common factor number is the GCF number.
So the greatest common factor 18762 and 18767 is 1.

Also check out the Least Common Multiple of 18762 and 18767