What is the Greatest Common Factor of 55754 and 55772?

Greatest common factor (GCF) of 55754 and 55772 is 2.

GCF(55754,55772) = 2

We will now calculate the prime factors of 55754 and 55772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55754 and 55772.

How to find the GCF of 55754 and 55772?

We will first find the prime factorization of 55754 and 55772. After we will calculate the factors of 55754 and 55772 and find the biggest common factor number .

Step-1: Prime Factorization of 55754

Prime factors of 55754 are 2, 61, 457. Prime factorization of 55754 in exponential form is:

55754 = 2¹ × 61¹ × 457¹

Step-2: Prime Factorization of 55772

Prime factors of 55772 are 2, 73, 191. Prime factorization of 55772 in exponential form is:

55772 = 2² × 73¹ × 191¹

Step-3: Factors of 55754

List of positive integer factors of 55754 that divides 55754 without a remainder.

1, 2, 61, 122, 457, 914, 27877

Step-4: Factors of 55772

List of positive integer factors of 55772 that divides 55754 without a remainder.

1, 2, 4, 73, 146, 191, 292, 382, 764, 13943, 27886

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55754 and 55772. The biggest common factor number is the GCF number.
So the greatest common factor 55754 and 55772 is 2.

Also check out the Least Common Multiple of 55754 and 55772