What is the Greatest Common Factor of 8742 and 8762?

Greatest common factor (GCF) of 8742 and 8762 is 2.

GCF(8742,8762) = 2

We will now calculate the prime factors of 8742 and 8762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8742 and 8762.

How to find the GCF of 8742 and 8762?

We will first find the prime factorization of 8742 and 8762. After we will calculate the factors of 8742 and 8762 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 8762

Prime factors of 8762 are 2, 13, 337. Prime factorization of 8762 in exponential form is:

8762 = 2¹ × 13¹ × 337¹

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 8762

List of positive integer factors of 8762 that divides 8742 without a remainder.

1, 2, 13, 26, 337, 674, 4381

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8742 and 8762. The biggest common factor number is the GCF number.
So the greatest common factor 8742 and 8762 is 2.

Also check out the Least Common Multiple of 8742 and 8762