What is the Greatest Common Factor of 40828 and 40848?

Greatest common factor (GCF) of 40828 and 40848 is 4.

GCF(40828,40848) = 4

We will now calculate the prime factors of 40828 and 40848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40828 and 40848.

How to find the GCF of 40828 and 40848?

We will first find the prime factorization of 40828 and 40848. After we will calculate the factors of 40828 and 40848 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 40848

Prime factors of 40848 are 2, 3, 23, 37. Prime factorization of 40848 in exponential form is:

40848 = 2⁴ × 3¹ × 23¹ × 37¹

Step-3: Factors of 40828

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

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

Step-4: Factors of 40848

List of positive integer factors of 40848 that divides 40828 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 37, 46, 48, 69, 74, 92, 111, 138, 148, 184, 222, 276, 296, 368, 444, 552, 592, 851, 888, 1104, 1702, 1776, 2553, 3404, 5106, 6808, 10212, 13616, 20424

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40828 and 40848. The biggest common factor number is the GCF number.
So the greatest common factor 40828 and 40848 is 4.

Also check out the Least Common Multiple of 40828 and 40848