What is the Greatest Common Factor of 40812 and 40817?

Greatest common factor (GCF) of 40812 and 40817 is 1.

GCF(40812,40817) = 1

We will now calculate the prime factors of 40812 and 40817, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40812 and 40817.

How to find the GCF of 40812 and 40817?

We will first find the prime factorization of 40812 and 40817. After we will calculate the factors of 40812 and 40817 and find the biggest common factor number .

Step-1: Prime Factorization of 40812

Prime factors of 40812 are 2, 3, 19, 179. Prime factorization of 40812 in exponential form is:

40812 = 2² × 3¹ × 19¹ × 179¹

Step-2: Prime Factorization of 40817

Prime factors of 40817 are 7, 17. Prime factorization of 40817 in exponential form is:

40817 = 7⁴ × 17¹

Step-3: Factors of 40812

List of positive integer factors of 40812 that divides 40812 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 179, 228, 358, 537, 716, 1074, 2148, 3401, 6802, 10203, 13604, 20406

Step-4: Factors of 40817

List of positive integer factors of 40817 that divides 40812 without a remainder.

1, 7, 17, 49, 119, 343, 833, 2401, 5831

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40812 and 40817. The biggest common factor number is the GCF number.
So the greatest common factor 40812 and 40817 is 1.

Also check out the Least Common Multiple of 40812 and 40817