What is the Greatest Common Factor of 77542 and 77550?

Greatest common factor (GCF) of 77542 and 77550 is 2.

GCF(77542,77550) = 2

We will now calculate the prime factors of 77542 and 77550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77542 and 77550.

How to find the GCF of 77542 and 77550?

We will first find the prime factorization of 77542 and 77550. After we will calculate the factors of 77542 and 77550 and find the biggest common factor number .

Step-1: Prime Factorization of 77542

Prime factors of 77542 are 2, 137, 283. Prime factorization of 77542 in exponential form is:

77542 = 2¹ × 137¹ × 283¹

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 77542

List of positive integer factors of 77542 that divides 77542 without a remainder.

1, 2, 137, 274, 283, 566, 38771

Step-4: Factors of 77550

List of positive integer factors of 77550 that divides 77542 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 77542 and 77550. The biggest common factor number is the GCF number.
So the greatest common factor 77542 and 77550 is 2.

Also check out the Least Common Multiple of 77542 and 77550