What is the Greatest Common Factor of 74763 and 74777?

Greatest common factor (GCF) of 74763 and 74777 is 1.

GCF(74763,74777) = 1

We will now calculate the prime factors of 74763 and 74777, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74763 and 74777.

How to find the GCF of 74763 and 74777?

We will first find the prime factorization of 74763 and 74777. After we will calculate the factors of 74763 and 74777 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 74777

Prime factors of 74777 are 37, 43, 47. Prime factorization of 74777 in exponential form is:

74777 = 37¹ × 43¹ × 47¹

Step-3: Factors of 74763

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

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

Step-4: Factors of 74777

List of positive integer factors of 74777 that divides 74763 without a remainder.

1, 37, 43, 47, 1591, 1739, 2021

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74763 and 74777. The biggest common factor number is the GCF number.
So the greatest common factor 74763 and 74777 is 1.

Also check out the Least Common Multiple of 74763 and 74777