What is the Greatest Common Factor of 45828 and 45842?

Greatest common factor (GCF) of 45828 and 45842 is 2.

GCF(45828,45842) = 2

We will now calculate the prime factors of 45828 and 45842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45828 and 45842.

How to find the GCF of 45828 and 45842?

We will first find the prime factorization of 45828 and 45842. After we will calculate the factors of 45828 and 45842 and find the biggest common factor number .

Step-1: Prime Factorization of 45828

Prime factors of 45828 are 2, 3, 19, 67. Prime factorization of 45828 in exponential form is:

45828 = 2² × 3² × 19¹ × 67¹

Step-2: Prime Factorization of 45842

Prime factors of 45842 are 2, 22921. Prime factorization of 45842 in exponential form is:

45842 = 2¹ × 22921¹

Step-3: Factors of 45828

List of positive integer factors of 45828 that divides 45828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 67, 76, 114, 134, 171, 201, 228, 268, 342, 402, 603, 684, 804, 1206, 1273, 2412, 2546, 3819, 5092, 7638, 11457, 15276, 22914

Step-4: Factors of 45842

List of positive integer factors of 45842 that divides 45828 without a remainder.

1, 2, 22921

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45828 and 45842. The biggest common factor number is the GCF number.
So the greatest common factor 45828 and 45842 is 2.

Also check out the Least Common Multiple of 45828 and 45842