What is the Greatest Common Factor of 40138 and 40156?

Greatest common factor (GCF) of 40138 and 40156 is 2.

GCF(40138,40156) = 2

We will now calculate the prime factors of 40138 and 40156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40138 and 40156.

How to find the GCF of 40138 and 40156?

We will first find the prime factorization of 40138 and 40156. After we will calculate the factors of 40138 and 40156 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 40156

Prime factors of 40156 are 2, 10039. Prime factorization of 40156 in exponential form is:

40156 = 2² × 10039¹

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 40156

List of positive integer factors of 40156 that divides 40138 without a remainder.

1, 2, 4, 10039, 20078

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40138 and 40156. The biggest common factor number is the GCF number.
So the greatest common factor 40138 and 40156 is 2.

Also check out the Least Common Multiple of 40138 and 40156