What is the Greatest Common Factor of 77505 and 77520?

Greatest common factor (GCF) of 77505 and 77520 is 15.

GCF(77505,77520) = 15

We will now calculate the prime factors of 77505 and 77520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77505 and 77520.

How to find the GCF of 77505 and 77520?

We will first find the prime factorization of 77505 and 77520. After we will calculate the factors of 77505 and 77520 and find the biggest common factor number .

Step-1: Prime Factorization of 77505

Prime factors of 77505 are 3, 5, 5167. Prime factorization of 77505 in exponential form is:

77505 = 3¹ × 5¹ × 5167¹

Step-2: Prime Factorization of 77520

Prime factors of 77520 are 2, 3, 5, 17, 19. Prime factorization of 77520 in exponential form is:

77520 = 2⁴ × 3¹ × 5¹ × 17¹ × 19¹

Step-3: Factors of 77505

List of positive integer factors of 77505 that divides 77505 without a remainder.

1, 3, 5, 15, 5167, 15501, 25835

Step-4: Factors of 77520

List of positive integer factors of 77520 that divides 77505 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 17, 19, 20, 24, 30, 34, 38, 40, 48, 51, 57, 60, 68, 76, 80, 85, 95, 102, 114, 120, 136, 152, 170, 190, 204, 228, 240, 255, 272, 285, 304, 323, 340, 380, 408, 456, 510, 570, 646, 680, 760, 816, 912, 969, 1020, 1140, 1292, 1360, 1520, 1615, 1938, 2040, 2280, 2584, 3230, 3876, 4080, 4560, 4845, 5168, 6460, 7752, 9690, 12920, 15504, 19380, 25840, 38760

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77505 and 77520. The biggest common factor number is the GCF number.
So the greatest common factor 77505 and 77520 is 15.

Also check out the Least Common Multiple of 77505 and 77520