What is the Greatest Common Factor of 77535 and 77550?

Greatest common factor (GCF) of 77535 and 77550 is 15.

GCF(77535,77550) = 15

We will now calculate the prime factors of 77535 and 77550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77535 and 77550.

How to find the GCF of 77535 and 77550?

We will first find the prime factorization of 77535 and 77550. After we will calculate the factors of 77535 and 77550 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 77550

Prime factors of 77550 are 2, 3, 5, 11, 47. Prime factorization of 77550 in exponential form is:

77550 = 2¹ × 3¹ × 5² × 11¹ × 47¹

Step-3: Factors of 77535

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

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

Step-4: Factors of 77550

List of positive integer factors of 77550 that divides 77535 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 25, 30, 33, 47, 50, 55, 66, 75, 94, 110, 141, 150, 165, 235, 275, 282, 330, 470, 517, 550, 705, 825, 1034, 1175, 1410, 1551, 1650, 2350, 2585, 3102, 3525, 5170, 7050, 7755, 12925, 15510, 25850, 38775

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77535 and 77550. The biggest common factor number is the GCF number.
So the greatest common factor 77535 and 77550 is 15.

Also check out the Least Common Multiple of 77535 and 77550