What is the Greatest Common Factor of 72896 and 72914?

Greatest common factor (GCF) of 72896 and 72914 is 2.

GCF(72896,72914) = 2

We will now calculate the prime factors of 72896 and 72914, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72896 and 72914.

How to find the GCF of 72896 and 72914?

We will first find the prime factorization of 72896 and 72914. After we will calculate the factors of 72896 and 72914 and find the biggest common factor number .

Step-1: Prime Factorization of 72896

Prime factors of 72896 are 2, 17, 67. Prime factorization of 72896 in exponential form is:

72896 = 2⁶ × 17¹ × 67¹

Step-2: Prime Factorization of 72914

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

72914 = 2¹ × 36457¹

Step-3: Factors of 72896

List of positive integer factors of 72896 that divides 72896 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 64, 67, 68, 134, 136, 268, 272, 536, 544, 1072, 1088, 1139, 2144, 2278, 4288, 4556, 9112, 18224, 36448

Step-4: Factors of 72914

List of positive integer factors of 72914 that divides 72896 without a remainder.

1, 2, 36457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72896 and 72914. The biggest common factor number is the GCF number.
So the greatest common factor 72896 and 72914 is 2.

Also check out the Least Common Multiple of 72896 and 72914