What is the Greatest Common Factor of 45530 and 45540?

Greatest common factor (GCF) of 45530 and 45540 is 10.

GCF(45530,45540) = 10

We will now calculate the prime factors of 45530 and 45540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45530 and 45540.

How to find the GCF of 45530 and 45540?

We will first find the prime factorization of 45530 and 45540. After we will calculate the factors of 45530 and 45540 and find the biggest common factor number .

Step-1: Prime Factorization of 45530

Prime factors of 45530 are 2, 5, 29, 157. Prime factorization of 45530 in exponential form is:

45530 = 2¹ × 5¹ × 29¹ × 157¹

Step-2: 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-3: Factors of 45530

List of positive integer factors of 45530 that divides 45530 without a remainder.

1, 2, 5, 10, 29, 58, 145, 157, 290, 314, 785, 1570, 4553, 9106, 22765

Step-4: Factors of 45540

List of positive integer factors of 45540 that divides 45530 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45530 and 45540. The biggest common factor number is the GCF number.
So the greatest common factor 45530 and 45540 is 10.

Also check out the Least Common Multiple of 45530 and 45540