What is the Greatest Common Factor of 35649 and 35666?

Greatest common factor (GCF) of 35649 and 35666 is 17.

GCF(35649,35666) = 17

We will now calculate the prime factors of 35649 and 35666, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35649 and 35666.

How to find the GCF of 35649 and 35666?

We will first find the prime factorization of 35649 and 35666. After we will calculate the factors of 35649 and 35666 and find the biggest common factor number .

Step-1: Prime Factorization of 35649

Prime factors of 35649 are 3, 17, 233. Prime factorization of 35649 in exponential form is:

35649 = 3² × 17¹ × 233¹

Step-2: Prime Factorization of 35666

Prime factors of 35666 are 2, 17, 1049. Prime factorization of 35666 in exponential form is:

35666 = 2¹ × 17¹ × 1049¹

Step-3: Factors of 35649

List of positive integer factors of 35649 that divides 35649 without a remainder.

1, 3, 9, 17, 51, 153, 233, 699, 2097, 3961, 11883

Step-4: Factors of 35666

List of positive integer factors of 35666 that divides 35649 without a remainder.

1, 2, 17, 34, 1049, 2098, 17833

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35649 and 35666. The biggest common factor number is the GCF number.
So the greatest common factor 35649 and 35666 is 17.

Also check out the Least Common Multiple of 35649 and 35666