What is the Greatest Common Factor of 40124 and 40138?

Greatest common factor (GCF) of 40124 and 40138 is 14.

GCF(40124,40138) = 14

We will now calculate the prime factors of 40124 and 40138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40124 and 40138.

How to find the GCF of 40124 and 40138?

We will first find the prime factorization of 40124 and 40138. After we will calculate the factors of 40124 and 40138 and find the biggest common factor number .

Step-1: Prime Factorization of 40124

Prime factors of 40124 are 2, 7, 1433. Prime factorization of 40124 in exponential form is:

40124 = 2² × 7¹ × 1433¹

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 40124

List of positive integer factors of 40124 that divides 40124 without a remainder.

1, 2, 4, 7, 14, 28, 1433, 2866, 5732, 10031, 20062

Step-4: Factors of 40138

List of positive integer factors of 40138 that divides 40124 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 40124 and 40138. The biggest common factor number is the GCF number.
So the greatest common factor 40124 and 40138 is 14.

Also check out the Least Common Multiple of 40124 and 40138