What is the Greatest Common Factor of 42924 and 42933?

Greatest common factor (GCF) of 42924 and 42933 is 3.

GCF(42924,42933) = 3

We will now calculate the prime factors of 42924 and 42933, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42924 and 42933.

How to find the GCF of 42924 and 42933?

We will first find the prime factorization of 42924 and 42933. After we will calculate the factors of 42924 and 42933 and find the biggest common factor number .

Step-1: Prime Factorization of 42924

Prime factors of 42924 are 2, 3, 7, 73. Prime factorization of 42924 in exponential form is:

42924 = 2² × 3¹ × 7² × 73¹

Step-2: Prime Factorization of 42933

Prime factors of 42933 are 3, 11, 1301. Prime factorization of 42933 in exponential form is:

42933 = 3¹ × 11¹ × 1301¹

Step-3: Factors of 42924

List of positive integer factors of 42924 that divides 42924 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 73, 84, 98, 146, 147, 196, 219, 292, 294, 438, 511, 588, 876, 1022, 1533, 2044, 3066, 3577, 6132, 7154, 10731, 14308, 21462

Step-4: Factors of 42933

List of positive integer factors of 42933 that divides 42924 without a remainder.

1, 3, 11, 33, 1301, 3903, 14311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42924 and 42933. The biggest common factor number is the GCF number.
So the greatest common factor 42924 and 42933 is 3.

Also check out the Least Common Multiple of 42924 and 42933