What is the Greatest Common Factor of 77520 and 77530?

Greatest common factor (GCF) of 77520 and 77530 is 10.

GCF(77520,77530) = 10

We will now calculate the prime factors of 77520 and 77530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77520 and 77530.

How to find the GCF of 77520 and 77530?

We will first find the prime factorization of 77520 and 77530. After we will calculate the factors of 77520 and 77530 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 77530

Prime factors of 77530 are 2, 5, 7753. Prime factorization of 77530 in exponential form is:

77530 = 2¹ × 5¹ × 7753¹

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 77530

List of positive integer factors of 77530 that divides 77520 without a remainder.

1, 2, 5, 10, 7753, 15506, 38765

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77520 and 77530. The biggest common factor number is the GCF number.
So the greatest common factor 77520 and 77530 is 10.

Also check out the Least Common Multiple of 77520 and 77530