What is the Greatest Common Factor of 40119 and 40125?

Greatest common factor (GCF) of 40119 and 40125 is 3.

GCF(40119,40125) = 3

We will now calculate the prime factors of 40119 and 40125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40119 and 40125.

How to find the GCF of 40119 and 40125?

We will first find the prime factorization of 40119 and 40125. After we will calculate the factors of 40119 and 40125 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 40125

Prime factors of 40125 are 3, 5, 107. Prime factorization of 40125 in exponential form is:

40125 = 3¹ × 5³ × 107¹

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 40125

List of positive integer factors of 40125 that divides 40119 without a remainder.

1, 3, 5, 15, 25, 75, 107, 125, 321, 375, 535, 1605, 2675, 8025, 13375

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40119 and 40125. The biggest common factor number is the GCF number.
So the greatest common factor 40119 and 40125 is 3.

Also check out the Least Common Multiple of 40119 and 40125