What is the Greatest Common Factor of 40097 and 40110?

Greatest common factor (GCF) of 40097 and 40110 is 1.

GCF(40097,40110) = 1

We will now calculate the prime factors of 40097 and 40110, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40097 and 40110.

How to find the GCF of 40097 and 40110?

We will first find the prime factorization of 40097 and 40110. After we will calculate the factors of 40097 and 40110 and find the biggest common factor number .

Step-1: Prime Factorization of 40097

Prime factors of 40097 are 101, 397. Prime factorization of 40097 in exponential form is:

40097 = 101¹ × 397¹

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 40097

List of positive integer factors of 40097 that divides 40097 without a remainder.

1, 101, 397

Step-4: Factors of 40110

List of positive integer factors of 40110 that divides 40097 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 40097 and 40110. The biggest common factor number is the GCF number.
So the greatest common factor 40097 and 40110 is 1.

Also check out the Least Common Multiple of 40097 and 40110