What is the Greatest Common Factor of 34608 and 34620?

Greatest common factor (GCF) of 34608 and 34620 is 12.

GCF(34608,34620) = 12

We will now calculate the prime factors of 34608 and 34620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34608 and 34620.

How to find the GCF of 34608 and 34620?

We will first find the prime factorization of 34608 and 34620. After we will calculate the factors of 34608 and 34620 and find the biggest common factor number .

Step-1: Prime Factorization of 34608

Prime factors of 34608 are 2, 3, 7, 103. Prime factorization of 34608 in exponential form is:

34608 = 2⁴ × 3¹ × 7¹ × 103¹

Step-2: Prime Factorization of 34620

Prime factors of 34620 are 2, 3, 5, 577. Prime factorization of 34620 in exponential form is:

34620 = 2² × 3¹ × 5¹ × 577¹

Step-3: Factors of 34608

List of positive integer factors of 34608 that divides 34608 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 103, 112, 168, 206, 309, 336, 412, 618, 721, 824, 1236, 1442, 1648, 2163, 2472, 2884, 4326, 4944, 5768, 8652, 11536, 17304

Step-4: Factors of 34620

List of positive integer factors of 34620 that divides 34608 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 577, 1154, 1731, 2308, 2885, 3462, 5770, 6924, 8655, 11540, 17310

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34608 and 34620. The biggest common factor number is the GCF number.
So the greatest common factor 34608 and 34620 is 12.

Also check out the Least Common Multiple of 34608 and 34620