What is the Greatest Common Factor of 55578 and 55593?

Greatest common factor (GCF) of 55578 and 55593 is 3.

GCF(55578,55593) = 3

We will now calculate the prime factors of 55578 and 55593, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55578 and 55593.

How to find the GCF of 55578 and 55593?

We will first find the prime factorization of 55578 and 55593. After we will calculate the factors of 55578 and 55593 and find the biggest common factor number .

Step-1: Prime Factorization of 55578

Prime factors of 55578 are 2, 3, 59, 157. Prime factorization of 55578 in exponential form is:

55578 = 2¹ × 3¹ × 59¹ × 157¹

Step-2: Prime Factorization of 55593

Prime factors of 55593 are 3, 29, 71. Prime factorization of 55593 in exponential form is:

55593 = 3³ × 29¹ × 71¹

Step-3: Factors of 55578

List of positive integer factors of 55578 that divides 55578 without a remainder.

1, 2, 3, 6, 59, 118, 157, 177, 314, 354, 471, 942, 9263, 18526, 27789

Step-4: Factors of 55593

List of positive integer factors of 55593 that divides 55578 without a remainder.

1, 3, 9, 27, 29, 71, 87, 213, 261, 639, 783, 1917, 2059, 6177, 18531

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55578 and 55593. The biggest common factor number is the GCF number.
So the greatest common factor 55578 and 55593 is 3.

Also check out the Least Common Multiple of 55578 and 55593