What is the Greatest Common Factor of 34608 and 34615?

Greatest common factor (GCF) of 34608 and 34615 is 7.

GCF(34608,34615) = 7

We will now calculate the prime factors of 34608 and 34615, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34608 and 34615.

How to find the GCF of 34608 and 34615?

We will first find the prime factorization of 34608 and 34615. After we will calculate the factors of 34608 and 34615 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 34615

Prime factors of 34615 are 5, 7, 23, 43. Prime factorization of 34615 in exponential form is:

34615 = 5¹ × 7¹ × 23¹ × 43¹

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 34615

List of positive integer factors of 34615 that divides 34608 without a remainder.

1, 5, 7, 23, 35, 43, 115, 161, 215, 301, 805, 989, 1505, 4945, 6923

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34608 and 34615. The biggest common factor number is the GCF number.
So the greatest common factor 34608 and 34615 is 7.

Also check out the Least Common Multiple of 34608 and 34615