What is the Greatest Common Factor of 77750 and 77760?

Greatest common factor (GCF) of 77750 and 77760 is 10.

GCF(77750,77760) = 10

We will now calculate the prime factors of 77750 and 77760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77750 and 77760.

How to find the GCF of 77750 and 77760?

We will first find the prime factorization of 77750 and 77760. After we will calculate the factors of 77750 and 77760 and find the biggest common factor number .

Step-1: Prime Factorization of 77750

Prime factors of 77750 are 2, 5, 311. Prime factorization of 77750 in exponential form is:

77750 = 2¹ × 5³ × 311¹

Step-2: Prime Factorization of 77760

Prime factors of 77760 are 2, 3, 5. Prime factorization of 77760 in exponential form is:

77760 = 2⁶ × 3⁵ × 5¹

Step-3: Factors of 77750

List of positive integer factors of 77750 that divides 77750 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250, 311, 622, 1555, 3110, 7775, 15550, 38875

Step-4: Factors of 77760

List of positive integer factors of 77760 that divides 77750 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 32, 36, 40, 45, 48, 54, 60, 64, 72, 80, 81, 90, 96, 108, 120, 135, 144, 160, 162, 180, 192, 216, 240, 243, 270, 288, 320, 324, 360, 405, 432, 480, 486, 540, 576, 648, 720, 810, 864, 960, 972, 1080, 1215, 1296, 1440, 1620, 1728, 1944, 2160, 2430, 2592, 2880, 3240, 3888, 4320, 4860, 5184, 6480, 7776, 8640, 9720, 12960, 15552, 19440, 25920, 38880

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77750 and 77760. The biggest common factor number is the GCF number.
So the greatest common factor 77750 and 77760 is 10.

Also check out the Least Common Multiple of 77750 and 77760