What is the Greatest Common Factor of 57814 and 57822?

Greatest common factor (GCF) of 57814 and 57822 is 2.

GCF(57814,57822) = 2

We will now calculate the prime factors of 57814 and 57822, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57814 and 57822.

How to find the GCF of 57814 and 57822?

We will first find the prime factorization of 57814 and 57822. After we will calculate the factors of 57814 and 57822 and find the biggest common factor number .

Step-1: Prime Factorization of 57814

Prime factors of 57814 are 2, 137, 211. Prime factorization of 57814 in exponential form is:

57814 = 2¹ × 137¹ × 211¹

Step-2: Prime Factorization of 57822

Prime factors of 57822 are 2, 3, 23, 419. Prime factorization of 57822 in exponential form is:

57822 = 2¹ × 3¹ × 23¹ × 419¹

Step-3: Factors of 57814

List of positive integer factors of 57814 that divides 57814 without a remainder.

1, 2, 137, 211, 274, 422, 28907

Step-4: Factors of 57822

List of positive integer factors of 57822 that divides 57814 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 419, 838, 1257, 2514, 9637, 19274, 28911

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57814 and 57822. The biggest common factor number is the GCF number.
So the greatest common factor 57814 and 57822 is 2.

Also check out the Least Common Multiple of 57814 and 57822