What is the Greatest Common Factor of 41097 and 41112?

Greatest common factor (GCF) of 41097 and 41112 is 3.

GCF(41097,41112) = 3

We will now calculate the prime factors of 41097 and 41112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41097 and 41112.

How to find the GCF of 41097 and 41112?

We will first find the prime factorization of 41097 and 41112. After we will calculate the factors of 41097 and 41112 and find the biggest common factor number .

Step-1: Prime Factorization of 41097

Prime factors of 41097 are 3, 7, 19, 103. Prime factorization of 41097 in exponential form is:

41097 = 3¹ × 7¹ × 19¹ × 103¹

Step-2: Prime Factorization of 41112

Prime factors of 41112 are 2, 3, 571. Prime factorization of 41112 in exponential form is:

41112 = 2³ × 3² × 571¹

Step-3: Factors of 41097

List of positive integer factors of 41097 that divides 41097 without a remainder.

1, 3, 7, 19, 21, 57, 103, 133, 309, 399, 721, 1957, 2163, 5871, 13699

Step-4: Factors of 41112

List of positive integer factors of 41112 that divides 41097 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 571, 1142, 1713, 2284, 3426, 4568, 5139, 6852, 10278, 13704, 20556

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41097 and 41112. The biggest common factor number is the GCF number.
So the greatest common factor 41097 and 41112 is 3.

Also check out the Least Common Multiple of 41097 and 41112