What is the Greatest Common Factor of 45814 and 45828?

Greatest common factor (GCF) of 45814 and 45828 is 2.

GCF(45814,45828) = 2

We will now calculate the prime factors of 45814 and 45828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45814 and 45828.

How to find the GCF of 45814 and 45828?

We will first find the prime factorization of 45814 and 45828. After we will calculate the factors of 45814 and 45828 and find the biggest common factor number .

Step-1: Prime Factorization of 45814

Prime factors of 45814 are 2, 22907. Prime factorization of 45814 in exponential form is:

45814 = 2¹ × 22907¹

Step-2: 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-3: Factors of 45814

List of positive integer factors of 45814 that divides 45814 without a remainder.

1, 2, 22907

Step-4: Factors of 45828

List of positive integer factors of 45828 that divides 45814 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45814 and 45828. The biggest common factor number is the GCF number.
So the greatest common factor 45814 and 45828 is 2.

Also check out the Least Common Multiple of 45814 and 45828