What is the Greatest Common Factor of 40119 and 40137?

Greatest common factor (GCF) of 40119 and 40137 is 3.

GCF(40119,40137) = 3

We will now calculate the prime factors of 40119 and 40137, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40119 and 40137.

How to find the GCF of 40119 and 40137?

We will first find the prime factorization of 40119 and 40137. After we will calculate the factors of 40119 and 40137 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 40137

Prime factors of 40137 are 3, 17, 787. Prime factorization of 40137 in exponential form is:

40137 = 3¹ × 17¹ × 787¹

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 40137

List of positive integer factors of 40137 that divides 40119 without a remainder.

1, 3, 17, 51, 787, 2361, 13379

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40119 and 40137. The biggest common factor number is the GCF number.
So the greatest common factor 40119 and 40137 is 3.

Also check out the Least Common Multiple of 40119 and 40137