What is the Greatest Common Factor of 57783 and 57794?

Greatest common factor (GCF) of 57783 and 57794 is 11.

GCF(57783,57794) = 11

We will now calculate the prime factors of 57783 and 57794, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57783 and 57794.

How to find the GCF of 57783 and 57794?

We will first find the prime factorization of 57783 and 57794. After we will calculate the factors of 57783 and 57794 and find the biggest common factor number .

Step-1: Prime Factorization of 57783

Prime factors of 57783 are 3, 11, 17, 103. Prime factorization of 57783 in exponential form is:

57783 = 3¹ × 11¹ × 17¹ × 103¹

Step-2: Prime Factorization of 57794

Prime factors of 57794 are 2, 11, 37, 71. Prime factorization of 57794 in exponential form is:

57794 = 2¹ × 11¹ × 37¹ × 71¹

Step-3: Factors of 57783

List of positive integer factors of 57783 that divides 57783 without a remainder.

1, 3, 11, 17, 33, 51, 103, 187, 309, 561, 1133, 1751, 3399, 5253, 19261

Step-4: Factors of 57794

List of positive integer factors of 57794 that divides 57783 without a remainder.

1, 2, 11, 22, 37, 71, 74, 142, 407, 781, 814, 1562, 2627, 5254, 28897

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57783 and 57794. The biggest common factor number is the GCF number.
So the greatest common factor 57783 and 57794 is 11.

Also check out the Least Common Multiple of 57783 and 57794