What is the Greatest Common Factor of 71757 and 71774?

Greatest common factor (GCF) of 71757 and 71774 is 17.

GCF(71757,71774) = 17

We will now calculate the prime factors of 71757 and 71774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71757 and 71774.

How to find the GCF of 71757 and 71774?

We will first find the prime factorization of 71757 and 71774. After we will calculate the factors of 71757 and 71774 and find the biggest common factor number .

Step-1: Prime Factorization of 71757

Prime factors of 71757 are 3, 7, 17, 67. Prime factorization of 71757 in exponential form is:

71757 = 3² × 7¹ × 17¹ × 67¹

Step-2: Prime Factorization of 71774

Prime factors of 71774 are 2, 17, 2111. Prime factorization of 71774 in exponential form is:

71774 = 2¹ × 17¹ × 2111¹

Step-3: Factors of 71757

List of positive integer factors of 71757 that divides 71757 without a remainder.

1, 3, 7, 9, 17, 21, 51, 63, 67, 119, 153, 201, 357, 469, 603, 1071, 1139, 1407, 3417, 4221, 7973, 10251, 23919

Step-4: Factors of 71774

List of positive integer factors of 71774 that divides 71757 without a remainder.

1, 2, 17, 34, 2111, 4222, 35887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71757 and 71774. The biggest common factor number is the GCF number.
So the greatest common factor 71757 and 71774 is 17.

Also check out the Least Common Multiple of 71757 and 71774