What is the Greatest Common Factor of 30952 and 30966?

Greatest common factor (GCF) of 30952 and 30966 is 2.

GCF(30952,30966) = 2

We will now calculate the prime factors of 30952 and 30966, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30952 and 30966.

How to find the GCF of 30952 and 30966?

We will first find the prime factorization of 30952 and 30966. After we will calculate the factors of 30952 and 30966 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 30966

Prime factors of 30966 are 2, 3, 13, 397. Prime factorization of 30966 in exponential form is:

30966 = 2¹ × 3¹ × 13¹ × 397¹

Step-3: Factors of 30952

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

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

Step-4: Factors of 30966

List of positive integer factors of 30966 that divides 30952 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 397, 794, 1191, 2382, 5161, 10322, 15483

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30952 and 30966. The biggest common factor number is the GCF number.
So the greatest common factor 30952 and 30966 is 2.

Also check out the Least Common Multiple of 30952 and 30966