What is the Greatest Common Factor of 55774 and 55792?

Greatest common factor (GCF) of 55774 and 55792 is 2.

GCF(55774,55792) = 2

We will now calculate the prime factors of 55774 and 55792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55774 and 55792.

How to find the GCF of 55774 and 55792?

We will first find the prime factorization of 55774 and 55792. After we will calculate the factors of 55774 and 55792 and find the biggest common factor number .

Step-1: Prime Factorization of 55774

Prime factors of 55774 are 2, 79, 353. Prime factorization of 55774 in exponential form is:

55774 = 2¹ × 79¹ × 353¹

Step-2: Prime Factorization of 55792

Prime factors of 55792 are 2, 11, 317. Prime factorization of 55792 in exponential form is:

55792 = 2⁴ × 11¹ × 317¹

Step-3: Factors of 55774

List of positive integer factors of 55774 that divides 55774 without a remainder.

1, 2, 79, 158, 353, 706, 27887

Step-4: Factors of 55792

List of positive integer factors of 55792 that divides 55774 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 317, 634, 1268, 2536, 3487, 5072, 6974, 13948, 27896

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55774 and 55792. The biggest common factor number is the GCF number.
So the greatest common factor 55774 and 55792 is 2.

Also check out the Least Common Multiple of 55774 and 55792