What is the Greatest Common Factor of 55363 and 55374?

Greatest common factor (GCF) of 55363 and 55374 is 11.

GCF(55363,55374) = 11

We will now calculate the prime factors of 55363 and 55374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55363 and 55374.

How to find the GCF of 55363 and 55374?

We will first find the prime factorization of 55363 and 55374. After we will calculate the factors of 55363 and 55374 and find the biggest common factor number .

Step-1: Prime Factorization of 55363

Prime factors of 55363 are 7, 11, 719. Prime factorization of 55363 in exponential form is:

55363 = 7¹ × 11¹ × 719¹

Step-2: Prime Factorization of 55374

Prime factors of 55374 are 2, 3, 11, 839. Prime factorization of 55374 in exponential form is:

55374 = 2¹ × 3¹ × 11¹ × 839¹

Step-3: Factors of 55363

List of positive integer factors of 55363 that divides 55363 without a remainder.

1, 7, 11, 77, 719, 5033, 7909

Step-4: Factors of 55374

List of positive integer factors of 55374 that divides 55363 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 839, 1678, 2517, 5034, 9229, 18458, 27687

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55363 and 55374. The biggest common factor number is the GCF number.
So the greatest common factor 55363 and 55374 is 11.

Also check out the Least Common Multiple of 55363 and 55374