What is the Greatest Common Factor of 76735 and 76744?

Greatest common factor (GCF) of 76735 and 76744 is 1.

GCF(76735,76744) = 1

We will now calculate the prime factors of 76735 and 76744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76735 and 76744.

How to find the GCF of 76735 and 76744?

We will first find the prime factorization of 76735 and 76744. After we will calculate the factors of 76735 and 76744 and find the biggest common factor number .

Step-1: Prime Factorization of 76735

Prime factors of 76735 are 5, 103, 149. Prime factorization of 76735 in exponential form is:

76735 = 5¹ × 103¹ × 149¹

Step-2: Prime Factorization of 76744

Prime factors of 76744 are 2, 53, 181. Prime factorization of 76744 in exponential form is:

76744 = 2³ × 53¹ × 181¹

Step-3: Factors of 76735

List of positive integer factors of 76735 that divides 76735 without a remainder.

1, 5, 103, 149, 515, 745, 15347

Step-4: Factors of 76744

List of positive integer factors of 76744 that divides 76735 without a remainder.

1, 2, 4, 8, 53, 106, 181, 212, 362, 424, 724, 1448, 9593, 19186, 38372

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76735 and 76744. The biggest common factor number is the GCF number.
So the greatest common factor 76735 and 76744 is 1.

Also check out the Least Common Multiple of 76735 and 76744