What is the Greatest Common Factor of 66417 and 66435?

Greatest common factor (GCF) of 66417 and 66435 is 3.

GCF(66417,66435) = 3

We will now calculate the prime factors of 66417 and 66435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66417 and 66435.

How to find the GCF of 66417 and 66435?

We will first find the prime factorization of 66417 and 66435. After we will calculate the factors of 66417 and 66435 and find the biggest common factor number .

Step-1: Prime Factorization of 66417

Prime factors of 66417 are 3, 13, 131. Prime factorization of 66417 in exponential form is:

66417 = 3¹ × 13² × 131¹

Step-2: 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-3: Factors of 66417

List of positive integer factors of 66417 that divides 66417 without a remainder.

1, 3, 13, 39, 131, 169, 393, 507, 1703, 5109, 22139

Step-4: Factors of 66435

List of positive integer factors of 66435 that divides 66417 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66417 and 66435. The biggest common factor number is the GCF number.
So the greatest common factor 66417 and 66435 is 3.

Also check out the Least Common Multiple of 66417 and 66435