What is the Greatest Common Factor of 55782 and 55797?

Greatest common factor (GCF) of 55782 and 55797 is 3.

GCF(55782,55797) = 3

We will now calculate the prime factors of 55782 and 55797, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55782 and 55797.

How to find the GCF of 55782 and 55797?

We will first find the prime factorization of 55782 and 55797. After we will calculate the factors of 55782 and 55797 and find the biggest common factor number .

Step-1: Prime Factorization of 55782

Prime factors of 55782 are 2, 3, 1033. Prime factorization of 55782 in exponential form is:

55782 = 2¹ × 3³ × 1033¹

Step-2: Prime Factorization of 55797

Prime factors of 55797 are 3, 7, 2657. Prime factorization of 55797 in exponential form is:

55797 = 3¹ × 7¹ × 2657¹

Step-3: Factors of 55782

List of positive integer factors of 55782 that divides 55782 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1033, 2066, 3099, 6198, 9297, 18594, 27891

Step-4: Factors of 55797

List of positive integer factors of 55797 that divides 55782 without a remainder.

1, 3, 7, 21, 2657, 7971, 18599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55782 and 55797. The biggest common factor number is the GCF number.
So the greatest common factor 55782 and 55797 is 3.

Also check out the Least Common Multiple of 55782 and 55797