What is the Greatest Common Factor of 40140 and 40155?

Greatest common factor (GCF) of 40140 and 40155 is 15.

GCF(40140,40155) = 15

We will now calculate the prime factors of 40140 and 40155, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40140 and 40155.

How to find the GCF of 40140 and 40155?

We will first find the prime factorization of 40140 and 40155. After we will calculate the factors of 40140 and 40155 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 40155

Prime factors of 40155 are 3, 5, 2677. Prime factorization of 40155 in exponential form is:

40155 = 3¹ × 5¹ × 2677¹

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 40155

List of positive integer factors of 40155 that divides 40140 without a remainder.

1, 3, 5, 15, 2677, 8031, 13385

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40140 and 40155. The biggest common factor number is the GCF number.
So the greatest common factor 40140 and 40155 is 15.

Also check out the Least Common Multiple of 40140 and 40155