What is the Greatest Common Factor of 18742 and 18760?

Greatest common factor (GCF) of 18742 and 18760 is 2.

GCF(18742,18760) = 2

We will now calculate the prime factors of 18742 and 18760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18742 and 18760.

How to find the GCF of 18742 and 18760?

We will first find the prime factorization of 18742 and 18760. After we will calculate the factors of 18742 and 18760 and find the biggest common factor number .

Step-1: Prime Factorization of 18742

Prime factors of 18742 are 2, 9371. Prime factorization of 18742 in exponential form is:

18742 = 2¹ × 9371¹

Step-2: Prime Factorization of 18760

Prime factors of 18760 are 2, 5, 7, 67. Prime factorization of 18760 in exponential form is:

18760 = 2³ × 5¹ × 7¹ × 67¹

Step-3: Factors of 18742

List of positive integer factors of 18742 that divides 18742 without a remainder.

1, 2, 9371

Step-4: Factors of 18760

List of positive integer factors of 18760 that divides 18742 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 67, 70, 134, 140, 268, 280, 335, 469, 536, 670, 938, 1340, 1876, 2345, 2680, 3752, 4690, 9380

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18742 and 18760. The biggest common factor number is the GCF number.
So the greatest common factor 18742 and 18760 is 2.

Also check out the Least Common Multiple of 18742 and 18760