What is the Greatest Common Factor of 55814 and 55834?

Greatest common factor (GCF) of 55814 and 55834 is 2.

GCF(55814,55834) = 2

We will now calculate the prime factors of 55814 and 55834, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55814 and 55834.

How to find the GCF of 55814 and 55834?

We will first find the prime factorization of 55814 and 55834. After we will calculate the factors of 55814 and 55834 and find the biggest common factor number .

Step-1: Prime Factorization of 55814

Prime factors of 55814 are 2, 11, 43, 59. Prime factorization of 55814 in exponential form is:

55814 = 2¹ × 11¹ × 43¹ × 59¹

Step-2: Prime Factorization of 55834

Prime factors of 55834 are 2, 27917. Prime factorization of 55834 in exponential form is:

55834 = 2¹ × 27917¹

Step-3: Factors of 55814

List of positive integer factors of 55814 that divides 55814 without a remainder.

1, 2, 11, 22, 43, 59, 86, 118, 473, 649, 946, 1298, 2537, 5074, 27907

Step-4: Factors of 55834

List of positive integer factors of 55834 that divides 55814 without a remainder.

1, 2, 27917

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55814 and 55834. The biggest common factor number is the GCF number.
So the greatest common factor 55814 and 55834 is 2.

Also check out the Least Common Multiple of 55814 and 55834