What is the Greatest Common Factor of 66435 and 66440?

Greatest common factor (GCF) of 66435 and 66440 is 5.

GCF(66435,66440) = 5

We will now calculate the prime factors of 66435 and 66440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66435 and 66440.

How to find the GCF of 66435 and 66440?

We will first find the prime factorization of 66435 and 66440. After we will calculate the factors of 66435 and 66440 and find the biggest common factor number .

Step-1: Prime Factorization of 66435

Prime factors of 66435 are 3, 5, 43, 103. Prime factorization of 66435 in exponential form is:

66435 = 3¹ × 5¹ × 43¹ × 103¹

Step-2: Prime Factorization of 66440

Prime factors of 66440 are 2, 5, 11, 151. Prime factorization of 66440 in exponential form is:

66440 = 2³ × 5¹ × 11¹ × 151¹

Step-3: Factors of 66435

List of positive integer factors of 66435 that divides 66435 without a remainder.

1, 3, 5, 15, 43, 103, 129, 215, 309, 515, 645, 1545, 4429, 13287, 22145

Step-4: Factors of 66440

List of positive integer factors of 66440 that divides 66435 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 151, 220, 302, 440, 604, 755, 1208, 1510, 1661, 3020, 3322, 6040, 6644, 8305, 13288, 16610, 33220

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66435 and 66440. The biggest common factor number is the GCF number.
So the greatest common factor 66435 and 66440 is 5.

Also check out the Least Common Multiple of 66435 and 66440