What is the Greatest Common Factor of 72672 and 72688?

Greatest common factor (GCF) of 72672 and 72688 is 16.

GCF(72672,72688) = 16

We will now calculate the prime factors of 72672 and 72688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72672 and 72688.

How to find the GCF of 72672 and 72688?

We will first find the prime factorization of 72672 and 72688. After we will calculate the factors of 72672 and 72688 and find the biggest common factor number .

Step-1: Prime Factorization of 72672

Prime factors of 72672 are 2, 3, 757. Prime factorization of 72672 in exponential form is:

72672 = 2⁵ × 3¹ × 757¹

Step-2: 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-3: Factors of 72672

List of positive integer factors of 72672 that divides 72672 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 757, 1514, 2271, 3028, 4542, 6056, 9084, 12112, 18168, 24224, 36336

Step-4: Factors of 72688

List of positive integer factors of 72688 that divides 72672 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72672 and 72688. The biggest common factor number is the GCF number.
So the greatest common factor 72672 and 72688 is 16.

Also check out the Least Common Multiple of 72672 and 72688