What is the Greatest Common Factor of 45012 and 45030?

Greatest common factor (GCF) of 45012 and 45030 is 6.

GCF(45012,45030) = 6

We will now calculate the prime factors of 45012 and 45030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45012 and 45030.

How to find the GCF of 45012 and 45030?

We will first find the prime factorization of 45012 and 45030. After we will calculate the factors of 45012 and 45030 and find the biggest common factor number .

Step-1: Prime Factorization of 45012

Prime factors of 45012 are 2, 3, 11, 31. Prime factorization of 45012 in exponential form is:

45012 = 2² × 3¹ × 11² × 31¹

Step-2: Prime Factorization of 45030

Prime factors of 45030 are 2, 3, 5, 19, 79. Prime factorization of 45030 in exponential form is:

45030 = 2¹ × 3¹ × 5¹ × 19¹ × 79¹

Step-3: Factors of 45012

List of positive integer factors of 45012 that divides 45012 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 31, 33, 44, 62, 66, 93, 121, 124, 132, 186, 242, 341, 363, 372, 484, 682, 726, 1023, 1364, 1452, 2046, 3751, 4092, 7502, 11253, 15004, 22506

Step-4: Factors of 45030

List of positive integer factors of 45030 that divides 45012 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 79, 95, 114, 158, 190, 237, 285, 395, 474, 570, 790, 1185, 1501, 2370, 3002, 4503, 7505, 9006, 15010, 22515

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45012 and 45030. The biggest common factor number is the GCF number.
So the greatest common factor 45012 and 45030 is 6.

Also check out the Least Common Multiple of 45012 and 45030