What is the Greatest Common Factor of 34320 and 34331?

Greatest common factor (GCF) of 34320 and 34331 is 11.

GCF(34320,34331) = 11

We will now calculate the prime factors of 34320 and 34331, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34320 and 34331.

How to find the GCF of 34320 and 34331?

We will first find the prime factorization of 34320 and 34331. After we will calculate the factors of 34320 and 34331 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 34331

Prime factors of 34331 are 11, 3121. Prime factorization of 34331 in exponential form is:

34331 = 11¹ × 3121¹

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 34331

List of positive integer factors of 34331 that divides 34320 without a remainder.

1, 11, 3121

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34320 and 34331. The biggest common factor number is the GCF number.
So the greatest common factor 34320 and 34331 is 11.

Also check out the Least Common Multiple of 34320 and 34331