What is the Greatest Common Factor of 45240 and 45252?

Greatest common factor (GCF) of 45240 and 45252 is 12.

GCF(45240,45252) = 12

We will now calculate the prime factors of 45240 and 45252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45240 and 45252.

How to find the GCF of 45240 and 45252?

We will first find the prime factorization of 45240 and 45252. After we will calculate the factors of 45240 and 45252 and find the biggest common factor number .

Step-1: Prime Factorization of 45240

Prime factors of 45240 are 2, 3, 5, 13, 29. Prime factorization of 45240 in exponential form is:

45240 = 2³ × 3¹ × 5¹ × 13¹ × 29¹

Step-2: Prime Factorization of 45252

Prime factors of 45252 are 2, 3, 419. Prime factorization of 45252 in exponential form is:

45252 = 2² × 3³ × 419¹

Step-3: Factors of 45240

List of positive integer factors of 45240 that divides 45240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 29, 30, 39, 40, 52, 58, 60, 65, 78, 87, 104, 116, 120, 130, 145, 156, 174, 195, 232, 260, 290, 312, 348, 377, 390, 435, 520, 580, 696, 754, 780, 870, 1131, 1160, 1508, 1560, 1740, 1885, 2262, 3016, 3480, 3770, 4524, 5655, 7540, 9048, 11310, 15080, 22620

Step-4: Factors of 45252

List of positive integer factors of 45252 that divides 45240 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 419, 838, 1257, 1676, 2514, 3771, 5028, 7542, 11313, 15084, 22626

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45240 and 45252. The biggest common factor number is the GCF number.
So the greatest common factor 45240 and 45252 is 12.

Also check out the Least Common Multiple of 45240 and 45252