What is the Greatest Common Factor of 34320 and 34328?

Greatest common factor (GCF) of 34320 and 34328 is 8.

GCF(34320,34328) = 8

We will now calculate the prime factors of 34320 and 34328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34320 and 34328.

How to find the GCF of 34320 and 34328?

We will first find the prime factorization of 34320 and 34328. After we will calculate the factors of 34320 and 34328 and find the biggest common factor number .

Step-1: Prime Factorization of 34320

Prime factors of 34320 are 2, 3, 5, 11, 13. Prime factorization of 34320 in exponential form is:

34320 = 2⁴ × 3¹ × 5¹ × 11¹ × 13¹

Step-2: Prime Factorization of 34328

Prime factors of 34328 are 2, 7, 613. Prime factorization of 34328 in exponential form is:

34328 = 2³ × 7¹ × 613¹

Step-3: Factors of 34320

List of positive integer factors of 34320 that divides 34320 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 13, 15, 16, 20, 22, 24, 26, 30, 33, 39, 40, 44, 48, 52, 55, 60, 65, 66, 78, 80, 88, 104, 110, 120, 130, 132, 143, 156, 165, 176, 195, 208, 220, 240, 260, 264, 286, 312, 330, 390, 429, 440, 520, 528, 572, 624, 660, 715, 780, 858, 880, 1040, 1144, 1320, 1430, 1560, 1716, 2145, 2288, 2640, 2860, 3120, 3432, 4290, 5720, 6864, 8580, 11440, 17160

Step-4: Factors of 34328

List of positive integer factors of 34328 that divides 34320 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 613, 1226, 2452, 4291, 4904, 8582, 17164

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34320 and 34328. The biggest common factor number is the GCF number.
So the greatest common factor 34320 and 34328 is 8.

Also check out the Least Common Multiple of 34320 and 34328