What is the Greatest Common Factor of 77550 and 77555?

Greatest common factor (GCF) of 77550 and 77555 is 5.

GCF(77550,77555) = 5

We will now calculate the prime factors of 77550 and 77555, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77550 and 77555.

How to find the GCF of 77550 and 77555?

We will first find the prime factorization of 77550 and 77555. After we will calculate the factors of 77550 and 77555 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 77555

Prime factors of 77555 are 5, 15511. Prime factorization of 77555 in exponential form is:

77555 = 5¹ × 15511¹

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 77555

List of positive integer factors of 77555 that divides 77550 without a remainder.

1, 5, 15511

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77550 and 77555. The biggest common factor number is the GCF number.
So the greatest common factor 77550 and 77555 is 5.

Also check out the Least Common Multiple of 77550 and 77555