What is the Greatest Common Factor of 30744 and 30749?

Greatest common factor (GCF) of 30744 and 30749 is 1.

GCF(30744,30749) = 1

We will now calculate the prime factors of 30744 and 30749, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30744 and 30749.

How to find the GCF of 30744 and 30749?

We will first find the prime factorization of 30744 and 30749. After we will calculate the factors of 30744 and 30749 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 30749

Prime factors of 30749 are 97, 317. Prime factorization of 30749 in exponential form is:

30749 = 97¹ × 317¹

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 30749

List of positive integer factors of 30749 that divides 30744 without a remainder.

1, 97, 317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30744 and 30749. The biggest common factor number is the GCF number.
So the greatest common factor 30744 and 30749 is 1.

Also check out the Least Common Multiple of 30744 and 30749