What is the Greatest Common Factor of 57914 and 57920?

Greatest common factor (GCF) of 57914 and 57920 is 2.

GCF(57914,57920) = 2

We will now calculate the prime factors of 57914 and 57920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57914 and 57920.

How to find the GCF of 57914 and 57920?

We will first find the prime factorization of 57914 and 57920. After we will calculate the factors of 57914 and 57920 and find the biggest common factor number .

Step-1: Prime Factorization of 57914

Prime factors of 57914 are 2, 23, 1259. Prime factorization of 57914 in exponential form is:

57914 = 2¹ × 23¹ × 1259¹

Step-2: Prime Factorization of 57920

Prime factors of 57920 are 2, 5, 181. Prime factorization of 57920 in exponential form is:

57920 = 2⁶ × 5¹ × 181¹

Step-3: Factors of 57914

List of positive integer factors of 57914 that divides 57914 without a remainder.

1, 2, 23, 46, 1259, 2518, 28957

Step-4: Factors of 57920

List of positive integer factors of 57920 that divides 57914 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 181, 320, 362, 724, 905, 1448, 1810, 2896, 3620, 5792, 7240, 11584, 14480, 28960

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57914 and 57920. The biggest common factor number is the GCF number.
So the greatest common factor 57914 and 57920 is 2.

Also check out the Least Common Multiple of 57914 and 57920