What is the Greatest Common Factor of 77752 and 77766?

Greatest common factor (GCF) of 77752 and 77766 is 2.

GCF(77752,77766) = 2

We will now calculate the prime factors of 77752 and 77766, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77752 and 77766.

How to find the GCF of 77752 and 77766?

We will first find the prime factorization of 77752 and 77766. After we will calculate the factors of 77752 and 77766 and find the biggest common factor number .

Step-1: Prime Factorization of 77752

Prime factors of 77752 are 2, 9719. Prime factorization of 77752 in exponential form is:

77752 = 2³ × 9719¹

Step-2: Prime Factorization of 77766

Prime factors of 77766 are 2, 3, 13, 997. Prime factorization of 77766 in exponential form is:

77766 = 2¹ × 3¹ × 13¹ × 997¹

Step-3: Factors of 77752

List of positive integer factors of 77752 that divides 77752 without a remainder.

1, 2, 4, 8, 9719, 19438, 38876

Step-4: Factors of 77766

List of positive integer factors of 77766 that divides 77752 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 997, 1994, 2991, 5982, 12961, 25922, 38883

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77752 and 77766. The biggest common factor number is the GCF number.
So the greatest common factor 77752 and 77766 is 2.

Also check out the Least Common Multiple of 77752 and 77766