What is the Greatest Common Factor of 72704 and 72710?

Greatest common factor (GCF) of 72704 and 72710 is 2.

GCF(72704,72710) = 2

We will now calculate the prime factors of 72704 and 72710, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72704 and 72710.

How to find the GCF of 72704 and 72710?

We will first find the prime factorization of 72704 and 72710. After we will calculate the factors of 72704 and 72710 and find the biggest common factor number .

Step-1: Prime Factorization of 72704

Prime factors of 72704 are 2, 71. Prime factorization of 72704 in exponential form is:

72704 = 2¹⁰ × 71¹

Step-2: Prime Factorization of 72710

Prime factors of 72710 are 2, 5, 11, 661. Prime factorization of 72710 in exponential form is:

72710 = 2¹ × 5¹ × 11¹ × 661¹

Step-3: Factors of 72704

List of positive integer factors of 72704 that divides 72704 without a remainder.

1, 2, 4, 8, 16, 32, 64, 71, 128, 142, 256, 284, 512, 568, 1024, 1136, 2272, 4544, 9088, 18176, 36352

Step-4: Factors of 72710

List of positive integer factors of 72710 that divides 72704 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 661, 1322, 3305, 6610, 7271, 14542, 36355

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72704 and 72710. The biggest common factor number is the GCF number.
So the greatest common factor 72704 and 72710 is 2.

Also check out the Least Common Multiple of 72704 and 72710