What is the Greatest Common Factor of 77520 and 77535?

Greatest common factor (GCF) of 77520 and 77535 is 15.

GCF(77520,77535) = 15

We will now calculate the prime factors of 77520 and 77535, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77520 and 77535.

How to find the GCF of 77520 and 77535?

We will first find the prime factorization of 77520 and 77535. After we will calculate the factors of 77520 and 77535 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 77535

Prime factors of 77535 are 3, 5, 1723. Prime factorization of 77535 in exponential form is:

77535 = 3² × 5¹ × 1723¹

Step-3: Factors of 77520

List of positive integer factors of 77520 that divides 77520 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

Step-4: Factors of 77535

List of positive integer factors of 77535 that divides 77520 without a remainder.

1, 3, 5, 9, 15, 45, 1723, 5169, 8615, 15507, 25845

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77520 and 77535. The biggest common factor number is the GCF number.
So the greatest common factor 77520 and 77535 is 15.

Also check out the Least Common Multiple of 77520 and 77535