What is the Greatest Common Factor of 57054 and 57064?

Greatest common factor (GCF) of 57054 and 57064 is 2.

GCF(57054,57064) = 2

We will now calculate the prime factors of 57054 and 57064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57054 and 57064.

How to find the GCF of 57054 and 57064?

We will first find the prime factorization of 57054 and 57064. After we will calculate the factors of 57054 and 57064 and find the biggest common factor number .

Step-1: Prime Factorization of 57054

Prime factors of 57054 are 2, 3, 37, 257. Prime factorization of 57054 in exponential form is:

57054 = 2¹ × 3¹ × 37¹ × 257¹

Step-2: Prime Factorization of 57064

Prime factors of 57064 are 2, 7, 1019. Prime factorization of 57064 in exponential form is:

57064 = 2³ × 7¹ × 1019¹

Step-3: Factors of 57054

List of positive integer factors of 57054 that divides 57054 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222, 257, 514, 771, 1542, 9509, 19018, 28527

Step-4: Factors of 57064

List of positive integer factors of 57064 that divides 57054 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1019, 2038, 4076, 7133, 8152, 14266, 28532

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57054 and 57064. The biggest common factor number is the GCF number.
So the greatest common factor 57054 and 57064 is 2.

Also check out the Least Common Multiple of 57054 and 57064