What is the Greatest Common Factor of 77550 and 77565?

Greatest common factor (GCF) of 77550 and 77565 is 15.

GCF(77550,77565) = 15

We will now calculate the prime factors of 77550 and 77565, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77550 and 77565.

How to find the GCF of 77550 and 77565?

We will first find the prime factorization of 77550 and 77565. After we will calculate the factors of 77550 and 77565 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 77565

Prime factors of 77565 are 3, 5, 5171. Prime factorization of 77565 in exponential form is:

77565 = 3¹ × 5¹ × 5171¹

Step-3: Factors of 77550

List of positive integer factors of 77550 that divides 77550 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

Step-4: Factors of 77565

List of positive integer factors of 77565 that divides 77550 without a remainder.

1, 3, 5, 15, 5171, 15513, 25855

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77550 and 77565. The biggest common factor number is the GCF number.
So the greatest common factor 77550 and 77565 is 15.

Also check out the Least Common Multiple of 77550 and 77565