What is the Greatest Common Factor of 55034 and 55046?

Greatest common factor (GCF) of 55034 and 55046 is 2.

GCF(55034,55046) = 2

We will now calculate the prime factors of 55034 and 55046, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55034 and 55046.

How to find the GCF of 55034 and 55046?

We will first find the prime factorization of 55034 and 55046. After we will calculate the factors of 55034 and 55046 and find the biggest common factor number .

Step-1: Prime Factorization of 55034

Prime factors of 55034 are 2, 7, 3931. Prime factorization of 55034 in exponential form is:

55034 = 2¹ × 7¹ × 3931¹

Step-2: Prime Factorization of 55046

Prime factors of 55046 are 2, 17, 1619. Prime factorization of 55046 in exponential form is:

55046 = 2¹ × 17¹ × 1619¹

Step-3: Factors of 55034

List of positive integer factors of 55034 that divides 55034 without a remainder.

1, 2, 7, 14, 3931, 7862, 27517

Step-4: Factors of 55046

List of positive integer factors of 55046 that divides 55034 without a remainder.

1, 2, 17, 34, 1619, 3238, 27523

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55034 and 55046. The biggest common factor number is the GCF number.
So the greatest common factor 55034 and 55046 is 2.

Also check out the Least Common Multiple of 55034 and 55046