What is the Greatest Common Factor of 40100 and 40110?

Greatest common factor (GCF) of 40100 and 40110 is 10.

GCF(40100,40110) = 10

We will now calculate the prime factors of 40100 and 40110, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40100 and 40110.

How to find the GCF of 40100 and 40110?

We will first find the prime factorization of 40100 and 40110. After we will calculate the factors of 40100 and 40110 and find the biggest common factor number .

Step-1: Prime Factorization of 40100

Prime factors of 40100 are 2, 5, 401. Prime factorization of 40100 in exponential form is:

40100 = 2² × 5² × 401¹

Step-2: 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-3: Factors of 40100

List of positive integer factors of 40100 that divides 40100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 401, 802, 1604, 2005, 4010, 8020, 10025, 20050

Step-4: Factors of 40110

List of positive integer factors of 40110 that divides 40100 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40100 and 40110. The biggest common factor number is the GCF number.
So the greatest common factor 40100 and 40110 is 10.

Also check out the Least Common Multiple of 40100 and 40110