What is the Greatest Common Factor of 80748 and 80766?

Greatest common factor (GCF) of 80748 and 80766 is 18.

GCF(80748,80766) = 18

We will now calculate the prime factors of 80748 and 80766, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80748 and 80766.

How to find the GCF of 80748 and 80766?

We will first find the prime factorization of 80748 and 80766. After we will calculate the factors of 80748 and 80766 and find the biggest common factor number .

Step-1: Prime Factorization of 80748

Prime factors of 80748 are 2, 3, 2243. Prime factorization of 80748 in exponential form is:

80748 = 2² × 3² × 2243¹

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 80748

List of positive integer factors of 80748 that divides 80748 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2243, 4486, 6729, 8972, 13458, 20187, 26916, 40374

Step-4: Factors of 80766

List of positive integer factors of 80766 that divides 80748 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 80748 and 80766. The biggest common factor number is the GCF number.
So the greatest common factor 80748 and 80766 is 18.

Also check out the Least Common Multiple of 80748 and 80766