What is the Greatest Common Factor of 57775 and 57782?

Greatest common factor (GCF) of 57775 and 57782 is 1.

GCF(57775,57782) = 1

We will now calculate the prime factors of 57775 and 57782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57775 and 57782.

How to find the GCF of 57775 and 57782?

We will first find the prime factorization of 57775 and 57782. After we will calculate the factors of 57775 and 57782 and find the biggest common factor number .

Step-1: Prime Factorization of 57775

Prime factors of 57775 are 5, 2311. Prime factorization of 57775 in exponential form is:

57775 = 5² × 2311¹

Step-2: Prime Factorization of 57782

Prime factors of 57782 are 2, 167, 173. Prime factorization of 57782 in exponential form is:

57782 = 2¹ × 167¹ × 173¹

Step-3: Factors of 57775

List of positive integer factors of 57775 that divides 57775 without a remainder.

1, 5, 25, 2311, 11555

Step-4: Factors of 57782

List of positive integer factors of 57782 that divides 57775 without a remainder.

1, 2, 167, 173, 334, 346, 28891

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57775 and 57782. The biggest common factor number is the GCF number.
So the greatest common factor 57775 and 57782 is 1.

Also check out the Least Common Multiple of 57775 and 57782