What is the Greatest Common Factor of 66435 and 66455?

Greatest common factor (GCF) of 66435 and 66455 is 5.

GCF(66435,66455) = 5

We will now calculate the prime factors of 66435 and 66455, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66435 and 66455.

How to find the GCF of 66435 and 66455?

We will first find the prime factorization of 66435 and 66455. After we will calculate the factors of 66435 and 66455 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 66455

Prime factors of 66455 are 5, 13291. Prime factorization of 66455 in exponential form is:

66455 = 5¹ × 13291¹

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 66455

List of positive integer factors of 66455 that divides 66435 without a remainder.

1, 5, 13291

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66435 and 66455. The biggest common factor number is the GCF number.
So the greatest common factor 66435 and 66455 is 5.

Also check out the Least Common Multiple of 66435 and 66455