What is the Greatest Common Factor of 55642 and 55654?

Greatest common factor (GCF) of 55642 and 55654 is 2.

GCF(55642,55654) = 2

We will now calculate the prime factors of 55642 and 55654, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55642 and 55654.

How to find the GCF of 55642 and 55654?

We will first find the prime factorization of 55642 and 55654. After we will calculate the factors of 55642 and 55654 and find the biggest common factor number .

Step-1: Prime Factorization of 55642

Prime factors of 55642 are 2, 43, 647. Prime factorization of 55642 in exponential form is:

55642 = 2¹ × 43¹ × 647¹

Step-2: Prime Factorization of 55654

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

55654 = 2¹ × 27827¹

Step-3: Factors of 55642

List of positive integer factors of 55642 that divides 55642 without a remainder.

1, 2, 43, 86, 647, 1294, 27821

Step-4: Factors of 55654

List of positive integer factors of 55654 that divides 55642 without a remainder.

1, 2, 27827

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55642 and 55654. The biggest common factor number is the GCF number.
So the greatest common factor 55642 and 55654 is 2.

Also check out the Least Common Multiple of 55642 and 55654