What is the Greatest Common Factor of 77520 and 77537?

Greatest common factor (GCF) of 77520 and 77537 is 17.

GCF(77520,77537) = 17

We will now calculate the prime factors of 77520 and 77537, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77520 and 77537.

How to find the GCF of 77520 and 77537?

We will first find the prime factorization of 77520 and 77537. After we will calculate the factors of 77520 and 77537 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 77537

Prime factors of 77537 are 17, 4561. Prime factorization of 77537 in exponential form is:

77537 = 17¹ × 4561¹

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 77537

List of positive integer factors of 77537 that divides 77520 without a remainder.

1, 17, 4561

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77520 and 77537. The biggest common factor number is the GCF number.
So the greatest common factor 77520 and 77537 is 17.

Also check out the Least Common Multiple of 77520 and 77537