What is the Greatest Common Factor of 40140 and 40158?

Greatest common factor (GCF) of 40140 and 40158 is 18.

GCF(40140,40158) = 18

We will now calculate the prime factors of 40140 and 40158, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40140 and 40158.

How to find the GCF of 40140 and 40158?

We will first find the prime factorization of 40140 and 40158. After we will calculate the factors of 40140 and 40158 and find the biggest common factor number .

Step-1: Prime Factorization of 40140

Prime factors of 40140 are 2, 3, 5, 223. Prime factorization of 40140 in exponential form is:

40140 = 2² × 3² × 5¹ × 223¹

Step-2: Prime Factorization of 40158

Prime factors of 40158 are 2, 3, 23, 97. Prime factorization of 40158 in exponential form is:

40158 = 2¹ × 3² × 23¹ × 97¹

Step-3: Factors of 40140

List of positive integer factors of 40140 that divides 40140 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 223, 446, 669, 892, 1115, 1338, 2007, 2230, 2676, 3345, 4014, 4460, 6690, 8028, 10035, 13380, 20070

Step-4: Factors of 40158

List of positive integer factors of 40158 that divides 40140 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 97, 138, 194, 207, 291, 414, 582, 873, 1746, 2231, 4462, 6693, 13386, 20079

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40140 and 40158. The biggest common factor number is the GCF number.
So the greatest common factor 40140 and 40158 is 18.

Also check out the Least Common Multiple of 40140 and 40158