What is the Greatest Common Factor of 83415 and 83424?

Greatest common factor (GCF) of 83415 and 83424 is 3.

GCF(83415,83424) = 3

We will now calculate the prime factors of 83415 and 83424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83415 and 83424.

How to find the GCF of 83415 and 83424?

We will first find the prime factorization of 83415 and 83424. After we will calculate the factors of 83415 and 83424 and find the biggest common factor number .

Step-1: Prime Factorization of 83415

Prime factors of 83415 are 3, 5, 67, 83. Prime factorization of 83415 in exponential form is:

83415 = 3¹ × 5¹ × 67¹ × 83¹

Step-2: Prime Factorization of 83424

Prime factors of 83424 are 2, 3, 11, 79. Prime factorization of 83424 in exponential form is:

83424 = 2⁵ × 3¹ × 11¹ × 79¹

Step-3: Factors of 83415

List of positive integer factors of 83415 that divides 83415 without a remainder.

1, 3, 5, 15, 67, 83, 201, 249, 335, 415, 1005, 1245, 5561, 16683, 27805

Step-4: Factors of 83424

List of positive integer factors of 83424 that divides 83415 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 66, 79, 88, 96, 132, 158, 176, 237, 264, 316, 352, 474, 528, 632, 869, 948, 1056, 1264, 1738, 1896, 2528, 2607, 3476, 3792, 5214, 6952, 7584, 10428, 13904, 20856, 27808, 41712

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83415 and 83424. The biggest common factor number is the GCF number.
So the greatest common factor 83415 and 83424 is 3.

Also check out the Least Common Multiple of 83415 and 83424