What is the Greatest Common Factor of 40119 and 40138?

Greatest common factor (GCF) of 40119 and 40138 is 1.

GCF(40119,40138) = 1

We will now calculate the prime factors of 40119 and 40138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40119 and 40138.

How to find the GCF of 40119 and 40138?

We will first find the prime factorization of 40119 and 40138. After we will calculate the factors of 40119 and 40138 and find the biggest common factor number .

Step-1: Prime Factorization of 40119

Prime factors of 40119 are 3, 43, 311. Prime factorization of 40119 in exponential form is:

40119 = 3¹ × 43¹ × 311¹

Step-2: 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-3: Factors of 40119

List of positive integer factors of 40119 that divides 40119 without a remainder.

1, 3, 43, 129, 311, 933, 13373

Step-4: Factors of 40138

List of positive integer factors of 40138 that divides 40119 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40119 and 40138. The biggest common factor number is the GCF number.
So the greatest common factor 40119 and 40138 is 1.

Also check out the Least Common Multiple of 40119 and 40138