What is the Greatest Common Factor of 40820 and 40832?

Greatest common factor (GCF) of 40820 and 40832 is 4.

GCF(40820,40832) = 4

We will now calculate the prime factors of 40820 and 40832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40820 and 40832.

How to find the GCF of 40820 and 40832?

We will first find the prime factorization of 40820 and 40832. After we will calculate the factors of 40820 and 40832 and find the biggest common factor number .

Step-1: Prime Factorization of 40820

Prime factors of 40820 are 2, 5, 13, 157. Prime factorization of 40820 in exponential form is:

40820 = 2² × 5¹ × 13¹ × 157¹

Step-2: Prime Factorization of 40832

Prime factors of 40832 are 2, 11, 29. Prime factorization of 40832 in exponential form is:

40832 = 2⁷ × 11¹ × 29¹

Step-3: Factors of 40820

List of positive integer factors of 40820 that divides 40820 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 157, 260, 314, 628, 785, 1570, 2041, 3140, 4082, 8164, 10205, 20410

Step-4: Factors of 40832

List of positive integer factors of 40832 that divides 40820 without a remainder.

1, 2, 4, 8, 11, 16, 22, 29, 32, 44, 58, 64, 88, 116, 128, 176, 232, 319, 352, 464, 638, 704, 928, 1276, 1408, 1856, 2552, 3712, 5104, 10208, 20416

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40820 and 40832. The biggest common factor number is the GCF number.
So the greatest common factor 40820 and 40832 is 4.

Also check out the Least Common Multiple of 40820 and 40832