What is the Greatest Common Factor of 30756 and 30767?

Greatest common factor (GCF) of 30756 and 30767 is 11.

GCF(30756,30767) = 11

We will now calculate the prime factors of 30756 and 30767, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30756 and 30767.

How to find the GCF of 30756 and 30767?

We will first find the prime factorization of 30756 and 30767. After we will calculate the factors of 30756 and 30767 and find the biggest common factor number .

Step-1: Prime Factorization of 30756

Prime factors of 30756 are 2, 3, 11, 233. Prime factorization of 30756 in exponential form is:

30756 = 2² × 3¹ × 11¹ × 233¹

Step-2: Prime Factorization of 30767

Prime factors of 30767 are 11, 2797. Prime factorization of 30767 in exponential form is:

30767 = 11¹ × 2797¹

Step-3: Factors of 30756

List of positive integer factors of 30756 that divides 30756 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 233, 466, 699, 932, 1398, 2563, 2796, 5126, 7689, 10252, 15378

Step-4: Factors of 30767

List of positive integer factors of 30767 that divides 30756 without a remainder.

1, 11, 2797

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30756 and 30767. The biggest common factor number is the GCF number.
So the greatest common factor 30756 and 30767 is 11.

Also check out the Least Common Multiple of 30756 and 30767