What is the Greatest Common Factor of 40817 and 40824?

Greatest common factor (GCF) of 40817 and 40824 is 7.

GCF(40817,40824) = 7

We will now calculate the prime factors of 40817 and 40824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40817 and 40824.

How to find the GCF of 40817 and 40824?

We will first find the prime factorization of 40817 and 40824. After we will calculate the factors of 40817 and 40824 and find the biggest common factor number .

Step-1: Prime Factorization of 40817

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

40817 = 7⁴ × 17¹

Step-2: Prime Factorization of 40824

Prime factors of 40824 are 2, 3, 7. Prime factorization of 40824 in exponential form is:

40824 = 2³ × 3⁶ × 7¹

Step-3: Factors of 40817

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

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

Step-4: Factors of 40824

List of positive integer factors of 40824 that divides 40817 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 42, 54, 56, 63, 72, 81, 84, 108, 126, 162, 168, 189, 216, 243, 252, 324, 378, 486, 504, 567, 648, 729, 756, 972, 1134, 1458, 1512, 1701, 1944, 2268, 2916, 3402, 4536, 5103, 5832, 6804, 10206, 13608, 20412

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40817 and 40824. The biggest common factor number is the GCF number.
So the greatest common factor 40817 and 40824 is 7.

Also check out the Least Common Multiple of 40817 and 40824