What is the Greatest Common Factor of 72898 and 72904?

Greatest common factor (GCF) of 72898 and 72904 is 2.

GCF(72898,72904) = 2

We will now calculate the prime factors of 72898 and 72904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72898 and 72904.

How to find the GCF of 72898 and 72904?

We will first find the prime factorization of 72898 and 72904. After we will calculate the factors of 72898 and 72904 and find the biggest common factor number .

Step-1: Prime Factorization of 72898

Prime factors of 72898 are 2, 7, 41, 127. Prime factorization of 72898 in exponential form is:

72898 = 2¹ × 7¹ × 41¹ × 127¹

Step-2: Prime Factorization of 72904

Prime factors of 72904 are 2, 13, 701. Prime factorization of 72904 in exponential form is:

72904 = 2³ × 13¹ × 701¹

Step-3: Factors of 72898

List of positive integer factors of 72898 that divides 72898 without a remainder.

1, 2, 7, 14, 41, 82, 127, 254, 287, 574, 889, 1778, 5207, 10414, 36449

Step-4: Factors of 72904

List of positive integer factors of 72904 that divides 72898 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 701, 1402, 2804, 5608, 9113, 18226, 36452

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72898 and 72904. The biggest common factor number is the GCF number.
So the greatest common factor 72898 and 72904 is 2.

Also check out the Least Common Multiple of 72898 and 72904