What is the Greatest Common Factor of 57762 and 57768?

Greatest common factor (GCF) of 57762 and 57768 is 6.

GCF(57762,57768) = 6

We will now calculate the prime factors of 57762 and 57768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57762 and 57768.

How to find the GCF of 57762 and 57768?

We will first find the prime factorization of 57762 and 57768. After we will calculate the factors of 57762 and 57768 and find the biggest common factor number .

Step-1: Prime Factorization of 57762

Prime factors of 57762 are 2, 3, 3209. Prime factorization of 57762 in exponential form is:

57762 = 2¹ × 3² × 3209¹

Step-2: Prime Factorization of 57768

Prime factors of 57768 are 2, 3, 29, 83. Prime factorization of 57768 in exponential form is:

57768 = 2³ × 3¹ × 29¹ × 83¹

Step-3: Factors of 57762

List of positive integer factors of 57762 that divides 57762 without a remainder.

1, 2, 3, 6, 9, 18, 3209, 6418, 9627, 19254, 28881

Step-4: Factors of 57768

List of positive integer factors of 57768 that divides 57762 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 83, 87, 116, 166, 174, 232, 249, 332, 348, 498, 664, 696, 996, 1992, 2407, 4814, 7221, 9628, 14442, 19256, 28884

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57762 and 57768. The biggest common factor number is the GCF number.
So the greatest common factor 57762 and 57768 is 6.

Also check out the Least Common Multiple of 57762 and 57768