What is the Greatest Common Factor of 40110 and 40117?

Greatest common factor (GCF) of 40110 and 40117 is 7.

GCF(40110,40117) = 7

We will now calculate the prime factors of 40110 and 40117, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40110 and 40117.

How to find the GCF of 40110 and 40117?

We will first find the prime factorization of 40110 and 40117. After we will calculate the factors of 40110 and 40117 and find the biggest common factor number .

Step-1: Prime Factorization of 40110

Prime factors of 40110 are 2, 3, 5, 7, 191. Prime factorization of 40110 in exponential form is:

40110 = 2¹ × 3¹ × 5¹ × 7¹ × 191¹

Step-2: Prime Factorization of 40117

Prime factors of 40117 are 7, 11, 521. Prime factorization of 40117 in exponential form is:

40117 = 7¹ × 11¹ × 521¹

Step-3: Factors of 40110

List of positive integer factors of 40110 that divides 40110 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 191, 210, 382, 573, 955, 1146, 1337, 1910, 2674, 2865, 4011, 5730, 6685, 8022, 13370, 20055

Step-4: Factors of 40117

List of positive integer factors of 40117 that divides 40110 without a remainder.

1, 7, 11, 77, 521, 3647, 5731

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40110 and 40117. The biggest common factor number is the GCF number.
So the greatest common factor 40110 and 40117 is 7.

Also check out the Least Common Multiple of 40110 and 40117