What is the Greatest Common Factor of 72688 and 72695?

Greatest common factor (GCF) of 72688 and 72695 is 7.

GCF(72688,72695) = 7

We will now calculate the prime factors of 72688 and 72695, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72688 and 72695.

How to find the GCF of 72688 and 72695?

We will first find the prime factorization of 72688 and 72695. After we will calculate the factors of 72688 and 72695 and find the biggest common factor number .

Step-1: Prime Factorization of 72688

Prime factors of 72688 are 2, 7, 11, 59. Prime factorization of 72688 in exponential form is:

72688 = 2⁴ × 7¹ × 11¹ × 59¹

Step-2: Prime Factorization of 72695

Prime factors of 72695 are 5, 7, 31, 67. Prime factorization of 72695 in exponential form is:

72695 = 5¹ × 7¹ × 31¹ × 67¹

Step-3: Factors of 72688

List of positive integer factors of 72688 that divides 72688 without a remainder.

1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 44, 56, 59, 77, 88, 112, 118, 154, 176, 236, 308, 413, 472, 616, 649, 826, 944, 1232, 1298, 1652, 2596, 3304, 4543, 5192, 6608, 9086, 10384, 18172, 36344

Step-4: Factors of 72695

List of positive integer factors of 72695 that divides 72688 without a remainder.

1, 5, 7, 31, 35, 67, 155, 217, 335, 469, 1085, 2077, 2345, 10385, 14539

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72688 and 72695. The biggest common factor number is the GCF number.
So the greatest common factor 72688 and 72695 is 7.

Also check out the Least Common Multiple of 72688 and 72695