What is the Greatest Common Factor of 72914 and 72924?

Greatest common factor (GCF) of 72914 and 72924 is 2.

GCF(72914,72924) = 2

We will now calculate the prime factors of 72914 and 72924, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72914 and 72924.

How to find the GCF of 72914 and 72924?

We will first find the prime factorization of 72914 and 72924. After we will calculate the factors of 72914 and 72924 and find the biggest common factor number .

Step-1: Prime Factorization of 72914

Prime factors of 72914 are 2, 36457. Prime factorization of 72914 in exponential form is:

72914 = 2¹ × 36457¹

Step-2: Prime Factorization of 72924

Prime factors of 72924 are 2, 3, 59, 103. Prime factorization of 72924 in exponential form is:

72924 = 2² × 3¹ × 59¹ × 103¹

Step-3: Factors of 72914

List of positive integer factors of 72914 that divides 72914 without a remainder.

1, 2, 36457

Step-4: Factors of 72924

List of positive integer factors of 72924 that divides 72914 without a remainder.

1, 2, 3, 4, 6, 12, 59, 103, 118, 177, 206, 236, 309, 354, 412, 618, 708, 1236, 6077, 12154, 18231, 24308, 36462

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72914 and 72924. The biggest common factor number is the GCF number.
So the greatest common factor 72914 and 72924 is 2.

Also check out the Least Common Multiple of 72914 and 72924