What is the Greatest Common Factor of 40824 and 40828?

Greatest common factor (GCF) of 40824 and 40828 is 4.

GCF(40824,40828) = 4

We will now calculate the prime factors of 40824 and 40828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40824 and 40828.

How to find the GCF of 40824 and 40828?

We will first find the prime factorization of 40824 and 40828. After we will calculate the factors of 40824 and 40828 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 40828

Prime factors of 40828 are 2, 59, 173. Prime factorization of 40828 in exponential form is:

40828 = 2² × 59¹ × 173¹

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 40828

List of positive integer factors of 40828 that divides 40824 without a remainder.

1, 2, 4, 59, 118, 173, 236, 346, 692, 10207, 20414

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40824 and 40828. The biggest common factor number is the GCF number.
So the greatest common factor 40824 and 40828 is 4.

Also check out the Least Common Multiple of 40824 and 40828