What is the Greatest Common Factor of 34608 and 34613?

Greatest common factor (GCF) of 34608 and 34613 is 1.

GCF(34608,34613) = 1

We will now calculate the prime factors of 34608 and 34613, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34608 and 34613.

How to find the GCF of 34608 and 34613?

We will first find the prime factorization of 34608 and 34613. After we will calculate the factors of 34608 and 34613 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 34613

Prime factors of 34613 are 34613. Prime factorization of 34613 in exponential form is:

34613 = 34613¹

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 34613

List of positive integer factors of 34613 that divides 34608 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34608 and 34613. The biggest common factor number is the GCF number.
So the greatest common factor 34608 and 34613 is 1.

Also check out the Least Common Multiple of 34608 and 34613