What is the Greatest Common Factor of 77508 and 77520?

Greatest common factor (GCF) of 77508 and 77520 is 12.

GCF(77508,77520) = 12

We will now calculate the prime factors of 77508 and 77520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77508 and 77520.

How to find the GCF of 77508 and 77520?

We will first find the prime factorization of 77508 and 77520. After we will calculate the factors of 77508 and 77520 and find the biggest common factor number .

Step-1: Prime Factorization of 77508

Prime factors of 77508 are 2, 3, 2153. Prime factorization of 77508 in exponential form is:

77508 = 2² × 3² × 2153¹

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 77508

List of positive integer factors of 77508 that divides 77508 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2153, 4306, 6459, 8612, 12918, 19377, 25836, 38754

Step-4: Factors of 77520

List of positive integer factors of 77520 that divides 77508 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 77508 and 77520. The biggest common factor number is the GCF number.
So the greatest common factor 77508 and 77520 is 12.

Also check out the Least Common Multiple of 77508 and 77520