What is the Greatest Common Factor of 34592 and 34608?

Greatest common factor (GCF) of 34592 and 34608 is 16.

GCF(34592,34608) = 16

We will now calculate the prime factors of 34592 and 34608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34592 and 34608.

How to find the GCF of 34592 and 34608?

We will first find the prime factorization of 34592 and 34608. After we will calculate the factors of 34592 and 34608 and find the biggest common factor number .

Step-1: Prime Factorization of 34592

Prime factors of 34592 are 2, 23, 47. Prime factorization of 34592 in exponential form is:

34592 = 2⁵ × 23¹ × 47¹

Step-2: 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-3: Factors of 34592

List of positive integer factors of 34592 that divides 34592 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 47, 92, 94, 184, 188, 368, 376, 736, 752, 1081, 1504, 2162, 4324, 8648, 17296

Step-4: Factors of 34608

List of positive integer factors of 34608 that divides 34592 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34592 and 34608. The biggest common factor number is the GCF number.
So the greatest common factor 34592 and 34608 is 16.

Also check out the Least Common Multiple of 34592 and 34608