What is the Greatest Common Factor of 57008 and 57014?

Greatest common factor (GCF) of 57008 and 57014 is 2.

GCF(57008,57014) = 2

We will now calculate the prime factors of 57008 and 57014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57008 and 57014.

How to find the GCF of 57008 and 57014?

We will first find the prime factorization of 57008 and 57014. After we will calculate the factors of 57008 and 57014 and find the biggest common factor number .

Step-1: Prime Factorization of 57008

Prime factors of 57008 are 2, 7, 509. Prime factorization of 57008 in exponential form is:

57008 = 2⁴ × 7¹ × 509¹

Step-2: Prime Factorization of 57014

Prime factors of 57014 are 2, 29, 983. Prime factorization of 57014 in exponential form is:

57014 = 2¹ × 29¹ × 983¹

Step-3: Factors of 57008

List of positive integer factors of 57008 that divides 57008 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 509, 1018, 2036, 3563, 4072, 7126, 8144, 14252, 28504

Step-4: Factors of 57014

List of positive integer factors of 57014 that divides 57008 without a remainder.

1, 2, 29, 58, 983, 1966, 28507

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57008 and 57014. The biggest common factor number is the GCF number.
So the greatest common factor 57008 and 57014 is 2.

Also check out the Least Common Multiple of 57008 and 57014