What is the Greatest Common Factor of 30744 and 30763?

Greatest common factor (GCF) of 30744 and 30763 is 1.

GCF(30744,30763) = 1

We will now calculate the prime factors of 30744 and 30763, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30744 and 30763.

How to find the GCF of 30744 and 30763?

We will first find the prime factorization of 30744 and 30763. After we will calculate the factors of 30744 and 30763 and find the biggest common factor number .

Step-1: Prime Factorization of 30744

Prime factors of 30744 are 2, 3, 7, 61. Prime factorization of 30744 in exponential form is:

30744 = 2³ × 3² × 7¹ × 61¹

Step-2: Prime Factorization of 30763

Prime factors of 30763 are 30763. Prime factorization of 30763 in exponential form is:

30763 = 30763¹

Step-3: Factors of 30744

List of positive integer factors of 30744 that divides 30744 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 61, 63, 72, 84, 122, 126, 168, 183, 244, 252, 366, 427, 488, 504, 549, 732, 854, 1098, 1281, 1464, 1708, 2196, 2562, 3416, 3843, 4392, 5124, 7686, 10248, 15372

Step-4: Factors of 30763

List of positive integer factors of 30763 that divides 30744 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30744 and 30763. The biggest common factor number is the GCF number.
So the greatest common factor 30744 and 30763 is 1.

Also check out the Least Common Multiple of 30744 and 30763