What is the Greatest Common Factor of 30944 and 30952?

Greatest common factor (GCF) of 30944 and 30952 is 8.

GCF(30944,30952) = 8

We will now calculate the prime factors of 30944 and 30952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30944 and 30952.

How to find the GCF of 30944 and 30952?

We will first find the prime factorization of 30944 and 30952. After we will calculate the factors of 30944 and 30952 and find the biggest common factor number .

Step-1: Prime Factorization of 30944

Prime factors of 30944 are 2, 967. Prime factorization of 30944 in exponential form is:

30944 = 2⁵ × 967¹

Step-2: Prime Factorization of 30952

Prime factors of 30952 are 2, 53, 73. Prime factorization of 30952 in exponential form is:

30952 = 2³ × 53¹ × 73¹

Step-3: Factors of 30944

List of positive integer factors of 30944 that divides 30944 without a remainder.

1, 2, 4, 8, 16, 32, 967, 1934, 3868, 7736, 15472

Step-4: Factors of 30952

List of positive integer factors of 30952 that divides 30944 without a remainder.

1, 2, 4, 8, 53, 73, 106, 146, 212, 292, 424, 584, 3869, 7738, 15476

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30944 and 30952. The biggest common factor number is the GCF number.
So the greatest common factor 30944 and 30952 is 8.

Also check out the Least Common Multiple of 30944 and 30952