What is the Greatest Common Factor of 90720 and 90738?

Greatest common factor (GCF) of 90720 and 90738 is 18.

GCF(90720,90738) = 18

We will now calculate the prime factors of 90720 and 90738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90720 and 90738.

How to find the GCF of 90720 and 90738?

We will first find the prime factorization of 90720 and 90738. After we will calculate the factors of 90720 and 90738 and find the biggest common factor number .

Step-1: Prime Factorization of 90720

Prime factors of 90720 are 2, 3, 5, 7. Prime factorization of 90720 in exponential form is:

90720 = 2⁵ × 3⁴ × 5¹ × 7¹

Step-2: Prime Factorization of 90738

Prime factors of 90738 are 2, 3, 71. Prime factorization of 90738 in exponential form is:

90738 = 2¹ × 3² × 71²

Step-3: Factors of 90720

List of positive integer factors of 90720 that divides 90720 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 27, 28, 30, 32, 35, 36, 40, 42, 45, 48, 54, 56, 60, 63, 70, 72, 80, 81, 84, 90, 96, 105, 108, 112, 120, 126, 135, 140, 144, 160, 162, 168, 180, 189, 210, 216, 224, 240, 252, 270, 280, 288, 315, 324, 336, 360, 378, 405, 420, 432, 480, 504, 540, 560, 567, 630, 648, 672, 720, 756, 810, 840, 864, 945, 1008, 1080, 1120, 1134, 1260, 1296, 1440, 1512, 1620, 1680, 1890, 2016, 2160, 2268, 2520, 2592, 2835, 3024, 3240, 3360, 3780, 4320, 4536, 5040, 5670, 6048, 6480, 7560, 9072, 10080, 11340, 12960, 15120, 18144, 22680, 30240, 45360

Step-4: Factors of 90738

List of positive integer factors of 90738 that divides 90720 without a remainder.

1, 2, 3, 6, 9, 18, 71, 142, 213, 426, 639, 1278, 5041, 10082, 15123, 30246, 45369

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90720 and 90738. The biggest common factor number is the GCF number.
So the greatest common factor 90720 and 90738 is 18.

Also check out the Least Common Multiple of 90720 and 90738