What is the Greatest Common Factor of 57930 and 57944?

Greatest common factor (GCF) of 57930 and 57944 is 2.

GCF(57930,57944) = 2

We will now calculate the prime factors of 57930 and 57944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57930 and 57944.

How to find the GCF of 57930 and 57944?

We will first find the prime factorization of 57930 and 57944. After we will calculate the factors of 57930 and 57944 and find the biggest common factor number .

Step-1: Prime Factorization of 57930

Prime factors of 57930 are 2, 3, 5, 1931. Prime factorization of 57930 in exponential form is:

57930 = 2¹ × 3¹ × 5¹ × 1931¹

Step-2: Prime Factorization of 57944

Prime factors of 57944 are 2, 7243. Prime factorization of 57944 in exponential form is:

57944 = 2³ × 7243¹

Step-3: Factors of 57930

List of positive integer factors of 57930 that divides 57930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1931, 3862, 5793, 9655, 11586, 19310, 28965

Step-4: Factors of 57944

List of positive integer factors of 57944 that divides 57930 without a remainder.

1, 2, 4, 8, 7243, 14486, 28972

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57930 and 57944. The biggest common factor number is the GCF number.
So the greatest common factor 57930 and 57944 is 2.

Also check out the Least Common Multiple of 57930 and 57944