What is the Greatest Common Factor of 72681 and 72688?

Greatest common factor (GCF) of 72681 and 72688 is 7.

GCF(72681,72688) = 7

We will now calculate the prime factors of 72681 and 72688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72681 and 72688.

How to find the GCF of 72681 and 72688?

We will first find the prime factorization of 72681 and 72688. After we will calculate the factors of 72681 and 72688 and find the biggest common factor number .

Step-1: Prime Factorization of 72681

Prime factors of 72681 are 3, 7, 3461. Prime factorization of 72681 in exponential form is:

72681 = 3¹ × 7¹ × 3461¹

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 72681

List of positive integer factors of 72681 that divides 72681 without a remainder.

1, 3, 7, 21, 3461, 10383, 24227

Step-4: Factors of 72688

List of positive integer factors of 72688 that divides 72681 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 72681 and 72688. The biggest common factor number is the GCF number.
So the greatest common factor 72681 and 72688 is 7.

Also check out the Least Common Multiple of 72681 and 72688