What is the Greatest Common Factor of 8742 and 8757?

Greatest common factor (GCF) of 8742 and 8757 is 3.

GCF(8742,8757) = 3

We will now calculate the prime factors of 8742 and 8757, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8742 and 8757.

How to find the GCF of 8742 and 8757?

We will first find the prime factorization of 8742 and 8757. After we will calculate the factors of 8742 and 8757 and find the biggest common factor number .

Step-1: Prime Factorization of 8742

Prime factors of 8742 are 2, 3, 31, 47. Prime factorization of 8742 in exponential form is:

8742 = 2¹ × 3¹ × 31¹ × 47¹

Step-2: Prime Factorization of 8757

Prime factors of 8757 are 3, 7, 139. Prime factorization of 8757 in exponential form is:

8757 = 3² × 7¹ × 139¹

Step-3: Factors of 8742

List of positive integer factors of 8742 that divides 8742 without a remainder.

1, 2, 3, 6, 31, 47, 62, 93, 94, 141, 186, 282, 1457, 2914, 4371

Step-4: Factors of 8757

List of positive integer factors of 8757 that divides 8742 without a remainder.

1, 3, 7, 9, 21, 63, 139, 417, 973, 1251, 2919

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8742 and 8757. The biggest common factor number is the GCF number.
So the greatest common factor 8742 and 8757 is 3.

Also check out the Least Common Multiple of 8742 and 8757