What is the Greatest Common Factor of 57722 and 57741?

Greatest common factor (GCF) of 57722 and 57741 is 19.

GCF(57722,57741) = 19

We will now calculate the prime factors of 57722 and 57741, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57722 and 57741.

How to find the GCF of 57722 and 57741?

We will first find the prime factorization of 57722 and 57741. After we will calculate the factors of 57722 and 57741 and find the biggest common factor number .

Step-1: Prime Factorization of 57722

Prime factors of 57722 are 2, 7, 19, 31. Prime factorization of 57722 in exponential form is:

57722 = 2¹ × 7² × 19¹ × 31¹

Step-2: Prime Factorization of 57741

Prime factors of 57741 are 3, 19, 1013. Prime factorization of 57741 in exponential form is:

57741 = 3¹ × 19¹ × 1013¹

Step-3: Factors of 57722

List of positive integer factors of 57722 that divides 57722 without a remainder.

1, 2, 7, 14, 19, 31, 38, 49, 62, 98, 133, 217, 266, 434, 589, 931, 1178, 1519, 1862, 3038, 4123, 8246, 28861

Step-4: Factors of 57741

List of positive integer factors of 57741 that divides 57722 without a remainder.

1, 3, 19, 57, 1013, 3039, 19247

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57722 and 57741. The biggest common factor number is the GCF number.
So the greatest common factor 57722 and 57741 is 19.

Also check out the Least Common Multiple of 57722 and 57741