What is the Greatest Common Factor of 45828 and 45847?

Greatest common factor (GCF) of 45828 and 45847 is 19.

GCF(45828,45847) = 19

We will now calculate the prime factors of 45828 and 45847, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45828 and 45847.

How to find the GCF of 45828 and 45847?

We will first find the prime factorization of 45828 and 45847. After we will calculate the factors of 45828 and 45847 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 45847

Prime factors of 45847 are 19, 127. Prime factorization of 45847 in exponential form is:

45847 = 19² × 127¹

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 45847

List of positive integer factors of 45847 that divides 45828 without a remainder.

1, 19, 127, 361, 2413

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45828 and 45847. The biggest common factor number is the GCF number.
So the greatest common factor 45828 and 45847 is 19.

Also check out the Least Common Multiple of 45828 and 45847