What is the Greatest Common Factor of 40138 and 40144?

Greatest common factor (GCF) of 40138 and 40144 is 2.

GCF(40138,40144) = 2

We will now calculate the prime factors of 40138 and 40144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40138 and 40144.

How to find the GCF of 40138 and 40144?

We will first find the prime factorization of 40138 and 40144. After we will calculate the factors of 40138 and 40144 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 40144

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

40144 = 2⁴ × 13¹ × 193¹

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 40144

List of positive integer factors of 40144 that divides 40138 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40138 and 40144. The biggest common factor number is the GCF number.
So the greatest common factor 40138 and 40144 is 2.

Also check out the Least Common Multiple of 40138 and 40144