What is the Greatest Common Factor of 45535 and 45540?

Greatest common factor (GCF) of 45535 and 45540 is 5.

GCF(45535,45540) = 5

We will now calculate the prime factors of 45535 and 45540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45535 and 45540.

How to find the GCF of 45535 and 45540?

We will first find the prime factorization of 45535 and 45540. After we will calculate the factors of 45535 and 45540 and find the biggest common factor number .

Step-1: Prime Factorization of 45535

Prime factors of 45535 are 5, 7, 1301. Prime factorization of 45535 in exponential form is:

45535 = 5¹ × 7¹ × 1301¹

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 45535

List of positive integer factors of 45535 that divides 45535 without a remainder.

1, 5, 7, 35, 1301, 6505, 9107

Step-4: Factors of 45540

List of positive integer factors of 45540 that divides 45535 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 45535 and 45540. The biggest common factor number is the GCF number.
So the greatest common factor 45535 and 45540 is 5.

Also check out the Least Common Multiple of 45535 and 45540