What is the Greatest Common Factor of 55654 and 55658?

Greatest common factor (GCF) of 55654 and 55658 is 2.

GCF(55654,55658) = 2

We will now calculate the prime factors of 55654 and 55658, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55654 and 55658.

How to find the GCF of 55654 and 55658?

We will first find the prime factorization of 55654 and 55658. After we will calculate the factors of 55654 and 55658 and find the biggest common factor number .

Step-1: Prime Factorization of 55654

Prime factors of 55654 are 2, 27827. Prime factorization of 55654 in exponential form is:

55654 = 2¹ × 27827¹

Step-2: Prime Factorization of 55658

Prime factors of 55658 are 2, 17, 1637. Prime factorization of 55658 in exponential form is:

55658 = 2¹ × 17¹ × 1637¹

Step-3: Factors of 55654

List of positive integer factors of 55654 that divides 55654 without a remainder.

1, 2, 27827

Step-4: Factors of 55658

List of positive integer factors of 55658 that divides 55654 without a remainder.

1, 2, 17, 34, 1637, 3274, 27829

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55654 and 55658. The biggest common factor number is the GCF number.
So the greatest common factor 55654 and 55658 is 2.

Also check out the Least Common Multiple of 55654 and 55658