What is the Greatest Common Factor of 35646 and 35666?

Greatest common factor (GCF) of 35646 and 35666 is 2.

GCF(35646,35666) = 2

We will now calculate the prime factors of 35646 and 35666, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35646 and 35666.

How to find the GCF of 35646 and 35666?

We will first find the prime factorization of 35646 and 35666. After we will calculate the factors of 35646 and 35666 and find the biggest common factor number .

Step-1: Prime Factorization of 35646

Prime factors of 35646 are 2, 3, 13, 457. Prime factorization of 35646 in exponential form is:

35646 = 2¹ × 3¹ × 13¹ × 457¹

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 35646

List of positive integer factors of 35646 that divides 35646 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 457, 914, 1371, 2742, 5941, 11882, 17823

Step-4: Factors of 35666

List of positive integer factors of 35666 that divides 35646 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35646 and 35666. The biggest common factor number is the GCF number.
So the greatest common factor 35646 and 35666 is 2.

Also check out the Least Common Multiple of 35646 and 35666