What is the Greatest Common Factor of 42914 and 42924?

Greatest common factor (GCF) of 42914 and 42924 is 2.

GCF(42914,42924) = 2

We will now calculate the prime factors of 42914 and 42924, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42914 and 42924.

How to find the GCF of 42914 and 42924?

We will first find the prime factorization of 42914 and 42924. After we will calculate the factors of 42914 and 42924 and find the biggest common factor number .

Step-1: Prime Factorization of 42914

Prime factors of 42914 are 2, 43, 499. Prime factorization of 42914 in exponential form is:

42914 = 2¹ × 43¹ × 499¹

Step-2: 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-3: Factors of 42914

List of positive integer factors of 42914 that divides 42914 without a remainder.

1, 2, 43, 86, 499, 998, 21457

Step-4: Factors of 42924

List of positive integer factors of 42924 that divides 42914 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42914 and 42924. The biggest common factor number is the GCF number.
So the greatest common factor 42914 and 42924 is 2.

Also check out the Least Common Multiple of 42914 and 42924