What is the Greatest Common Factor of 34632 and 34638?

Greatest common factor (GCF) of 34632 and 34638 is 6.

GCF(34632,34638) = 6

We will now calculate the prime factors of 34632 and 34638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34632 and 34638.

How to find the GCF of 34632 and 34638?

We will first find the prime factorization of 34632 and 34638. After we will calculate the factors of 34632 and 34638 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 34638

Prime factors of 34638 are 2, 3, 23, 251. Prime factorization of 34638 in exponential form is:

34638 = 2¹ × 3¹ × 23¹ × 251¹

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 34638

List of positive integer factors of 34638 that divides 34632 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 251, 502, 753, 1506, 5773, 11546, 17319

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34632 and 34638. The biggest common factor number is the GCF number.
So the greatest common factor 34632 and 34638 is 6.

Also check out the Least Common Multiple of 34632 and 34638