What is the Greatest Common Factor of 40097 and 40112?

Greatest common factor (GCF) of 40097 and 40112 is 1.

GCF(40097,40112) = 1

We will now calculate the prime factors of 40097 and 40112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40097 and 40112.

How to find the GCF of 40097 and 40112?

We will first find the prime factorization of 40097 and 40112. After we will calculate the factors of 40097 and 40112 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 40112

Prime factors of 40112 are 2, 23, 109. Prime factorization of 40112 in exponential form is:

40112 = 2⁴ × 23¹ × 109¹

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 40112

List of positive integer factors of 40112 that divides 40097 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 109, 184, 218, 368, 436, 872, 1744, 2507, 5014, 10028, 20056

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40097 and 40112. The biggest common factor number is the GCF number.
So the greatest common factor 40097 and 40112 is 1.

Also check out the Least Common Multiple of 40097 and 40112