What is the Greatest Common Factor of 40824 and 40831?

Greatest common factor (GCF) of 40824 and 40831 is 7.

GCF(40824,40831) = 7

We will now calculate the prime factors of 40824 and 40831, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40824 and 40831.

How to find the GCF of 40824 and 40831?

We will first find the prime factorization of 40824 and 40831. After we will calculate the factors of 40824 and 40831 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 40831

Prime factors of 40831 are 7, 19, 307. Prime factorization of 40831 in exponential form is:

40831 = 7¹ × 19¹ × 307¹

Step-3: Factors of 40824

List of positive integer factors of 40824 that divides 40824 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

Step-4: Factors of 40831

List of positive integer factors of 40831 that divides 40824 without a remainder.

1, 7, 19, 133, 307, 2149, 5833

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40824 and 40831. The biggest common factor number is the GCF number.
So the greatest common factor 40824 and 40831 is 7.

Also check out the Least Common Multiple of 40824 and 40831