What is the Greatest Common Factor of 35633 and 35646?

Greatest common factor (GCF) of 35633 and 35646 is 13.

GCF(35633,35646) = 13

We will now calculate the prime factors of 35633 and 35646, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35633 and 35646.

How to find the GCF of 35633 and 35646?

We will first find the prime factorization of 35633 and 35646. After we will calculate the factors of 35633 and 35646 and find the biggest common factor number .

Step-1: Prime Factorization of 35633

Prime factors of 35633 are 13, 2741. Prime factorization of 35633 in exponential form is:

35633 = 13¹ × 2741¹

Step-2: 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-3: Factors of 35633

List of positive integer factors of 35633 that divides 35633 without a remainder.

1, 13, 2741

Step-4: Factors of 35646

List of positive integer factors of 35646 that divides 35633 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35633 and 35646. The biggest common factor number is the GCF number.
So the greatest common factor 35633 and 35646 is 13.

Also check out the Least Common Multiple of 35633 and 35646