What is the Greatest Common Factor of 45318 and 45336?

Greatest common factor (GCF) of 45318 and 45336 is 6.

GCF(45318,45336) = 6

We will now calculate the prime factors of 45318 and 45336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45318 and 45336.

How to find the GCF of 45318 and 45336?

We will first find the prime factorization of 45318 and 45336. After we will calculate the factors of 45318 and 45336 and find the biggest common factor number .

Step-1: Prime Factorization of 45318

Prime factors of 45318 are 2, 3, 7, 13, 83. Prime factorization of 45318 in exponential form is:

45318 = 2¹ × 3¹ × 7¹ × 13¹ × 83¹

Step-2: Prime Factorization of 45336

Prime factors of 45336 are 2, 3, 1889. Prime factorization of 45336 in exponential form is:

45336 = 2³ × 3¹ × 1889¹

Step-3: Factors of 45318

List of positive integer factors of 45318 that divides 45318 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 83, 91, 166, 182, 249, 273, 498, 546, 581, 1079, 1162, 1743, 2158, 3237, 3486, 6474, 7553, 15106, 22659

Step-4: Factors of 45336

List of positive integer factors of 45336 that divides 45318 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1889, 3778, 5667, 7556, 11334, 15112, 22668

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45318 and 45336. The biggest common factor number is the GCF number.
So the greatest common factor 45318 and 45336 is 6.

Also check out the Least Common Multiple of 45318 and 45336