What is the Greatest Common Factor of 34632 and 34646?

Greatest common factor (GCF) of 34632 and 34646 is 2.

GCF(34632,34646) = 2

We will now calculate the prime factors of 34632 and 34646, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34632 and 34646.

How to find the GCF of 34632 and 34646?

We will first find the prime factorization of 34632 and 34646. After we will calculate the factors of 34632 and 34646 and find the biggest common factor number .

Step-1: Prime Factorization of 34632

Prime factors of 34632 are 2, 3, 13, 37. Prime factorization of 34632 in exponential form is:

34632 = 2³ × 3² × 13¹ × 37¹

Step-2: Prime Factorization of 34646

Prime factors of 34646 are 2, 17, 1019. Prime factorization of 34646 in exponential form is:

34646 = 2¹ × 17¹ × 1019¹

Step-3: Factors of 34632

List of positive integer factors of 34632 that divides 34632 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 37, 39, 52, 72, 74, 78, 104, 111, 117, 148, 156, 222, 234, 296, 312, 333, 444, 468, 481, 666, 888, 936, 962, 1332, 1443, 1924, 2664, 2886, 3848, 4329, 5772, 8658, 11544, 17316

Step-4: Factors of 34646

List of positive integer factors of 34646 that divides 34632 without a remainder.

1, 2, 17, 34, 1019, 2038, 17323

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34632 and 34646. The biggest common factor number is the GCF number.
So the greatest common factor 34632 and 34646 is 2.

Also check out the Least Common Multiple of 34632 and 34646