What is the Greatest Common Factor of 80757 and 80766?

Greatest common factor (GCF) of 80757 and 80766 is 9.

GCF(80757,80766) = 9

We will now calculate the prime factors of 80757 and 80766, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80757 and 80766.

How to find the GCF of 80757 and 80766?

We will first find the prime factorization of 80757 and 80766. After we will calculate the factors of 80757 and 80766 and find the biggest common factor number .

Step-1: Prime Factorization of 80757

Prime factors of 80757 are 3, 997. Prime factorization of 80757 in exponential form is:

80757 = 3⁴ × 997¹

Step-2: Prime Factorization of 80766

Prime factors of 80766 are 2, 3, 7, 641. Prime factorization of 80766 in exponential form is:

80766 = 2¹ × 3² × 7¹ × 641¹

Step-3: Factors of 80757

List of positive integer factors of 80757 that divides 80757 without a remainder.

1, 3, 9, 27, 81, 997, 2991, 8973, 26919

Step-4: Factors of 80766

List of positive integer factors of 80766 that divides 80757 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 641, 1282, 1923, 3846, 4487, 5769, 8974, 11538, 13461, 26922, 40383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80757 and 80766. The biggest common factor number is the GCF number.
So the greatest common factor 80757 and 80766 is 9.

Also check out the Least Common Multiple of 80757 and 80766