What is the Greatest Common Factor of 74743 and 74763?

Greatest common factor (GCF) of 74743 and 74763 is 1.

GCF(74743,74763) = 1

We will now calculate the prime factors of 74743 and 74763, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74743 and 74763.

How to find the GCF of 74743 and 74763?

We will first find the prime factorization of 74743 and 74763. After we will calculate the factors of 74743 and 74763 and find the biggest common factor number .

Step-1: Prime Factorization of 74743

Prime factors of 74743 are 41, 1823. Prime factorization of 74743 in exponential form is:

74743 = 41¹ × 1823¹

Step-2: Prime Factorization of 74763

Prime factors of 74763 are 3, 13, 71. Prime factorization of 74763 in exponential form is:

74763 = 3⁴ × 13¹ × 71¹

Step-3: Factors of 74743

List of positive integer factors of 74743 that divides 74743 without a remainder.

1, 41, 1823

Step-4: Factors of 74763

List of positive integer factors of 74763 that divides 74743 without a remainder.

1, 3, 9, 13, 27, 39, 71, 81, 117, 213, 351, 639, 923, 1053, 1917, 2769, 5751, 8307, 24921

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74743 and 74763. The biggest common factor number is the GCF number.
So the greatest common factor 74743 and 74763 is 1.

Also check out the Least Common Multiple of 74743 and 74763