What is the Greatest Common Factor of 89760 and 89767?

Greatest common factor (GCF) of 89760 and 89767 is 1.

GCF(89760,89767) = 1

We will now calculate the prime factors of 89760 and 89767, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89760 and 89767.

How to find the GCF of 89760 and 89767?

We will first find the prime factorization of 89760 and 89767. After we will calculate the factors of 89760 and 89767 and find the biggest common factor number .

Step-1: Prime Factorization of 89760

Prime factors of 89760 are 2, 3, 5, 11, 17. Prime factorization of 89760 in exponential form is:

89760 = 2⁵ × 3¹ × 5¹ × 11¹ × 17¹

Step-2: Prime Factorization of 89767

Prime factors of 89767 are 89767. Prime factorization of 89767 in exponential form is:

89767 = 89767¹

Step-3: Factors of 89760

List of positive integer factors of 89760 that divides 89760 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 17, 20, 22, 24, 30, 32, 33, 34, 40, 44, 48, 51, 55, 60, 66, 68, 80, 85, 88, 96, 102, 110, 120, 132, 136, 160, 165, 170, 176, 187, 204, 220, 240, 255, 264, 272, 330, 340, 352, 374, 408, 440, 480, 510, 528, 544, 561, 660, 680, 748, 816, 880, 935, 1020, 1056, 1122, 1320, 1360, 1496, 1632, 1760, 1870, 2040, 2244, 2640, 2720, 2805, 2992, 3740, 4080, 4488, 5280, 5610, 5984, 7480, 8160, 8976, 11220, 14960, 17952, 22440, 29920, 44880

Step-4: Factors of 89767

List of positive integer factors of 89767 that divides 89760 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89760 and 89767. The biggest common factor number is the GCF number.
So the greatest common factor 89760 and 89767 is 1.

Also check out the Least Common Multiple of 89760 and 89767