What is the Greatest Common Factor of 34320 and 34330?

Greatest common factor (GCF) of 34320 and 34330 is 10.

GCF(34320,34330) = 10

We will now calculate the prime factors of 34320 and 34330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34320 and 34330.

How to find the GCF of 34320 and 34330?

We will first find the prime factorization of 34320 and 34330. After we will calculate the factors of 34320 and 34330 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 34330

Prime factors of 34330 are 2, 5, 3433. Prime factorization of 34330 in exponential form is:

34330 = 2¹ × 5¹ × 3433¹

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 34330

List of positive integer factors of 34330 that divides 34320 without a remainder.

1, 2, 5, 10, 3433, 6866, 17165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34320 and 34330. The biggest common factor number is the GCF number.
So the greatest common factor 34320 and 34330 is 10.

Also check out the Least Common Multiple of 34320 and 34330