What is the Greatest Common Factor of 80766 and 80774?

Greatest common factor (GCF) of 80766 and 80774 is 2.

GCF(80766,80774) = 2

We will now calculate the prime factors of 80766 and 80774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80766 and 80774.

How to find the GCF of 80766 and 80774?

We will first find the prime factorization of 80766 and 80774. After we will calculate the factors of 80766 and 80774 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 80774

Prime factors of 80774 are 2, 40387. Prime factorization of 80774 in exponential form is:

80774 = 2¹ × 40387¹

Step-3: Factors of 80766

List of positive integer factors of 80766 that divides 80766 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

Step-4: Factors of 80774

List of positive integer factors of 80774 that divides 80766 without a remainder.

1, 2, 40387

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80766 and 80774. The biggest common factor number is the GCF number.
So the greatest common factor 80766 and 80774 is 2.

Also check out the Least Common Multiple of 80766 and 80774