What is the Greatest Common Factor of 40144 and 40150?

Greatest common factor (GCF) of 40144 and 40150 is 2.

GCF(40144,40150) = 2

We will now calculate the prime factors of 40144 and 40150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40144 and 40150.

How to find the GCF of 40144 and 40150?

We will first find the prime factorization of 40144 and 40150. After we will calculate the factors of 40144 and 40150 and find the biggest common factor number .

Step-1: Prime Factorization of 40144

Prime factors of 40144 are 2, 13, 193. Prime factorization of 40144 in exponential form is:

40144 = 2⁴ × 13¹ × 193¹

Step-2: Prime Factorization of 40150

Prime factors of 40150 are 2, 5, 11, 73. Prime factorization of 40150 in exponential form is:

40150 = 2¹ × 5² × 11¹ × 73¹

Step-3: Factors of 40144

List of positive integer factors of 40144 that divides 40144 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 193, 208, 386, 772, 1544, 2509, 3088, 5018, 10036, 20072

Step-4: Factors of 40150

List of positive integer factors of 40150 that divides 40144 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 73, 110, 146, 275, 365, 550, 730, 803, 1606, 1825, 3650, 4015, 8030, 20075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40144 and 40150. The biggest common factor number is the GCF number.
So the greatest common factor 40144 and 40150 is 2.

Also check out the Least Common Multiple of 40144 and 40150