What is the Greatest Common Factor of 72670 and 72688?

Greatest common factor (GCF) of 72670 and 72688 is 2.

GCF(72670,72688) = 2

We will now calculate the prime factors of 72670 and 72688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72670 and 72688.

How to find the GCF of 72670 and 72688?

We will first find the prime factorization of 72670 and 72688. After we will calculate the factors of 72670 and 72688 and find the biggest common factor number .

Step-1: Prime Factorization of 72670

Prime factors of 72670 are 2, 5, 13, 43. Prime factorization of 72670 in exponential form is:

72670 = 2¹ × 5¹ × 13² × 43¹

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 72670

List of positive integer factors of 72670 that divides 72670 without a remainder.

1, 2, 5, 10, 13, 26, 43, 65, 86, 130, 169, 215, 338, 430, 559, 845, 1118, 1690, 2795, 5590, 7267, 14534, 36335

Step-4: Factors of 72688

List of positive integer factors of 72688 that divides 72670 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 72670 and 72688. The biggest common factor number is the GCF number.
So the greatest common factor 72670 and 72688 is 2.

Also check out the Least Common Multiple of 72670 and 72688