What is the Greatest Common Factor of 77539 and 77550?

Greatest common factor (GCF) of 77539 and 77550 is 11.

GCF(77539,77550) = 11

We will now calculate the prime factors of 77539 and 77550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77539 and 77550.

How to find the GCF of 77539 and 77550?

We will first find the prime factorization of 77539 and 77550. After we will calculate the factors of 77539 and 77550 and find the biggest common factor number .

Step-1: Prime Factorization of 77539

Prime factors of 77539 are 7, 11, 19, 53. Prime factorization of 77539 in exponential form is:

77539 = 7¹ × 11¹ × 19¹ × 53¹

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 77539

List of positive integer factors of 77539 that divides 77539 without a remainder.

1, 7, 11, 19, 53, 77, 133, 209, 371, 583, 1007, 1463, 4081, 7049, 11077

Step-4: Factors of 77550

List of positive integer factors of 77550 that divides 77539 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 77539 and 77550. The biggest common factor number is the GCF number.
So the greatest common factor 77539 and 77550 is 11.

Also check out the Least Common Multiple of 77539 and 77550