What is the Greatest Common Factor of 77682 and 77693?

Greatest common factor (GCF) of 77682 and 77693 is 11.

GCF(77682,77693) = 11

We will now calculate the prime factors of 77682 and 77693, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77682 and 77693.

How to find the GCF of 77682 and 77693?

We will first find the prime factorization of 77682 and 77693. After we will calculate the factors of 77682 and 77693 and find the biggest common factor number .

Step-1: Prime Factorization of 77682

Prime factors of 77682 are 2, 3, 11, 107. Prime factorization of 77682 in exponential form is:

77682 = 2¹ × 3¹ × 11² × 107¹

Step-2: Prime Factorization of 77693

Prime factors of 77693 are 7, 11, 1009. Prime factorization of 77693 in exponential form is:

77693 = 7¹ × 11¹ × 1009¹

Step-3: Factors of 77682

List of positive integer factors of 77682 that divides 77682 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 107, 121, 214, 242, 321, 363, 642, 726, 1177, 2354, 3531, 7062, 12947, 25894, 38841

Step-4: Factors of 77693

List of positive integer factors of 77693 that divides 77682 without a remainder.

1, 7, 11, 77, 1009, 7063, 11099

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77682 and 77693. The biggest common factor number is the GCF number.
So the greatest common factor 77682 and 77693 is 11.

Also check out the Least Common Multiple of 77682 and 77693