What is the Greatest Common Factor of 18748 and 18762?

Greatest common factor (GCF) of 18748 and 18762 is 2.

GCF(18748,18762) = 2

We will now calculate the prime factors of 18748 and 18762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18748 and 18762.

How to find the GCF of 18748 and 18762?

We will first find the prime factorization of 18748 and 18762. After we will calculate the factors of 18748 and 18762 and find the biggest common factor number .

Step-1: Prime Factorization of 18748

Prime factors of 18748 are 2, 43, 109. Prime factorization of 18748 in exponential form is:

18748 = 2² × 43¹ × 109¹

Step-2: 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-3: Factors of 18748

List of positive integer factors of 18748 that divides 18748 without a remainder.

1, 2, 4, 43, 86, 109, 172, 218, 436, 4687, 9374

Step-4: Factors of 18762

List of positive integer factors of 18762 that divides 18748 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18748 and 18762. The biggest common factor number is the GCF number.
So the greatest common factor 18748 and 18762 is 2.

Also check out the Least Common Multiple of 18748 and 18762