What is the Greatest Common Factor of 66417 and 66434?

Greatest common factor (GCF) of 66417 and 66434 is 1.

GCF(66417,66434) = 1

We will now calculate the prime factors of 66417 and 66434, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66417 and 66434.

How to find the GCF of 66417 and 66434?

We will first find the prime factorization of 66417 and 66434. After we will calculate the factors of 66417 and 66434 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 66434

Prime factors of 66434 are 2, 59, 563. Prime factorization of 66434 in exponential form is:

66434 = 2¹ × 59¹ × 563¹

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 66434

List of positive integer factors of 66434 that divides 66417 without a remainder.

1, 2, 59, 118, 563, 1126, 33217

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66417 and 66434. The biggest common factor number is the GCF number.
So the greatest common factor 66417 and 66434 is 1.

Also check out the Least Common Multiple of 66417 and 66434