What is the Greatest Common Factor of 55762 and 55782?

Greatest common factor (GCF) of 55762 and 55782 is 2.

GCF(55762,55782) = 2

We will now calculate the prime factors of 55762 and 55782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55762 and 55782.

How to find the GCF of 55762 and 55782?

We will first find the prime factorization of 55762 and 55782. After we will calculate the factors of 55762 and 55782 and find the biggest common factor number .

Step-1: Prime Factorization of 55762

Prime factors of 55762 are 2, 7, 569. Prime factorization of 55762 in exponential form is:

55762 = 2¹ × 7² × 569¹

Step-2: 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-3: Factors of 55762

List of positive integer factors of 55762 that divides 55762 without a remainder.

1, 2, 7, 14, 49, 98, 569, 1138, 3983, 7966, 27881

Step-4: Factors of 55782

List of positive integer factors of 55782 that divides 55762 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55762 and 55782. The biggest common factor number is the GCF number.
So the greatest common factor 55762 and 55782 is 2.

Also check out the Least Common Multiple of 55762 and 55782