What is the Greatest Common Factor of 45012 and 45024?

Greatest common factor (GCF) of 45012 and 45024 is 12.

GCF(45012,45024) = 12

We will now calculate the prime factors of 45012 and 45024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45012 and 45024.

How to find the GCF of 45012 and 45024?

We will first find the prime factorization of 45012 and 45024. After we will calculate the factors of 45012 and 45024 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 45024

Prime factors of 45024 are 2, 3, 7, 67. Prime factorization of 45024 in exponential form is:

45024 = 2⁵ × 3¹ × 7¹ × 67¹

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 45024

List of positive integer factors of 45024 that divides 45012 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 67, 84, 96, 112, 134, 168, 201, 224, 268, 336, 402, 469, 536, 672, 804, 938, 1072, 1407, 1608, 1876, 2144, 2814, 3216, 3752, 5628, 6432, 7504, 11256, 15008, 22512

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45012 and 45024. The biggest common factor number is the GCF number.
So the greatest common factor 45012 and 45024 is 12.

Also check out the Least Common Multiple of 45012 and 45024