What is the Greatest Common Factor of 40138 and 40150?

Greatest common factor (GCF) of 40138 and 40150 is 2.

GCF(40138,40150) = 2

We will now calculate the prime factors of 40138 and 40150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40138 and 40150.

How to find the GCF of 40138 and 40150?

We will first find the prime factorization of 40138 and 40150. After we will calculate the factors of 40138 and 40150 and find the biggest common factor number .

Step-1: Prime Factorization of 40138

Prime factors of 40138 are 2, 7, 47, 61. Prime factorization of 40138 in exponential form is:

40138 = 2¹ × 7¹ × 47¹ × 61¹

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 40138

List of positive integer factors of 40138 that divides 40138 without a remainder.

1, 2, 7, 14, 47, 61, 94, 122, 329, 427, 658, 854, 2867, 5734, 20069

Step-4: Factors of 40150

List of positive integer factors of 40150 that divides 40138 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 40138 and 40150. The biggest common factor number is the GCF number.
So the greatest common factor 40138 and 40150 is 2.

Also check out the Least Common Multiple of 40138 and 40150