What is the Greatest Common Factor of 45540 and 45556?

Greatest common factor (GCF) of 45540 and 45556 is 4.

GCF(45540,45556) = 4

We will now calculate the prime factors of 45540 and 45556, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45540 and 45556.

How to find the GCF of 45540 and 45556?

We will first find the prime factorization of 45540 and 45556. After we will calculate the factors of 45540 and 45556 and find the biggest common factor number .

Step-1: Prime Factorization of 45540

Prime factors of 45540 are 2, 3, 5, 11, 23. Prime factorization of 45540 in exponential form is:

45540 = 2² × 3² × 5¹ × 11¹ × 23¹

Step-2: Prime Factorization of 45556

Prime factors of 45556 are 2, 7, 1627. Prime factorization of 45556 in exponential form is:

45556 = 2² × 7¹ × 1627¹

Step-3: Factors of 45540

List of positive integer factors of 45540 that divides 45540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 23, 30, 33, 36, 44, 45, 46, 55, 60, 66, 69, 90, 92, 99, 110, 115, 132, 138, 165, 180, 198, 207, 220, 230, 253, 276, 330, 345, 396, 414, 460, 495, 506, 660, 690, 759, 828, 990, 1012, 1035, 1265, 1380, 1518, 1980, 2070, 2277, 2530, 3036, 3795, 4140, 4554, 5060, 7590, 9108, 11385, 15180, 22770

Step-4: Factors of 45556

List of positive integer factors of 45556 that divides 45540 without a remainder.

1, 2, 4, 7, 14, 28, 1627, 3254, 6508, 11389, 22778

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45540 and 45556. The biggest common factor number is the GCF number.
So the greatest common factor 45540 and 45556 is 4.

Also check out the Least Common Multiple of 45540 and 45556