What is the Greatest Common Factor of 34614 and 34632?

Greatest common factor (GCF) of 34614 and 34632 is 18.

GCF(34614,34632) = 18

We will now calculate the prime factors of 34614 and 34632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34614 and 34632.

How to find the GCF of 34614 and 34632?

We will first find the prime factorization of 34614 and 34632. After we will calculate the factors of 34614 and 34632 and find the biggest common factor number .

Step-1: Prime Factorization of 34614

Prime factors of 34614 are 2, 3, 641. Prime factorization of 34614 in exponential form is:

34614 = 2¹ × 3³ × 641¹

Step-2: 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-3: Factors of 34614

List of positive integer factors of 34614 that divides 34614 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 641, 1282, 1923, 3846, 5769, 11538, 17307

Step-4: Factors of 34632

List of positive integer factors of 34632 that divides 34614 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34614 and 34632. The biggest common factor number is the GCF number.
So the greatest common factor 34614 and 34632 is 18.

Also check out the Least Common Multiple of 34614 and 34632