What is the Greatest Common Factor of 18830 and 18840?

Greatest common factor (GCF) of 18830 and 18840 is 10.

GCF(18830,18840) = 10

We will now calculate the prime factors of 18830 and 18840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18830 and 18840.

How to find the GCF of 18830 and 18840?

We will first find the prime factorization of 18830 and 18840. After we will calculate the factors of 18830 and 18840 and find the biggest common factor number .

Step-1: Prime Factorization of 18830

Prime factors of 18830 are 2, 5, 7, 269. Prime factorization of 18830 in exponential form is:

18830 = 2¹ × 5¹ × 7¹ × 269¹

Step-2: Prime Factorization of 18840

Prime factors of 18840 are 2, 3, 5, 157. Prime factorization of 18840 in exponential form is:

18840 = 2³ × 3¹ × 5¹ × 157¹

Step-3: Factors of 18830

List of positive integer factors of 18830 that divides 18830 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 269, 538, 1345, 1883, 2690, 3766, 9415

Step-4: Factors of 18840

List of positive integer factors of 18840 that divides 18830 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 157, 314, 471, 628, 785, 942, 1256, 1570, 1884, 2355, 3140, 3768, 4710, 6280, 9420

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18830 and 18840. The biggest common factor number is the GCF number.
So the greatest common factor 18830 and 18840 is 10.

Also check out the Least Common Multiple of 18830 and 18840