What is the Greatest Common Factor of 72704 and 72722?

Greatest common factor (GCF) of 72704 and 72722 is 2.

GCF(72704,72722) = 2

We will now calculate the prime factors of 72704 and 72722, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72704 and 72722.

How to find the GCF of 72704 and 72722?

We will first find the prime factorization of 72704 and 72722. After we will calculate the factors of 72704 and 72722 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 72722

Prime factors of 72722 are 2, 13, 2797. Prime factorization of 72722 in exponential form is:

72722 = 2¹ × 13¹ × 2797¹

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 72722

List of positive integer factors of 72722 that divides 72704 without a remainder.

1, 2, 13, 26, 2797, 5594, 36361

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72704 and 72722. The biggest common factor number is the GCF number.
So the greatest common factor 72704 and 72722 is 2.

Also check out the Least Common Multiple of 72704 and 72722