What is the Greatest Common Factor of 80740 and 80751?

Greatest common factor (GCF) of 80740 and 80751 is 11.

GCF(80740,80751) = 11

We will now calculate the prime factors of 80740 and 80751, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80740 and 80751.

How to find the GCF of 80740 and 80751?

We will first find the prime factorization of 80740 and 80751. After we will calculate the factors of 80740 and 80751 and find the biggest common factor number .

Step-1: Prime Factorization of 80740

Prime factors of 80740 are 2, 5, 11, 367. Prime factorization of 80740 in exponential form is:

80740 = 2² × 5¹ × 11¹ × 367¹

Step-2: Prime Factorization of 80751

Prime factors of 80751 are 3, 11, 2447. Prime factorization of 80751 in exponential form is:

80751 = 3¹ × 11¹ × 2447¹

Step-3: Factors of 80740

List of positive integer factors of 80740 that divides 80740 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 367, 734, 1468, 1835, 3670, 4037, 7340, 8074, 16148, 20185, 40370

Step-4: Factors of 80751

List of positive integer factors of 80751 that divides 80740 without a remainder.

1, 3, 11, 33, 2447, 7341, 26917

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80740 and 80751. The biggest common factor number is the GCF number.
So the greatest common factor 80740 and 80751 is 11.

Also check out the Least Common Multiple of 80740 and 80751