What is the Greatest Common Factor of 80758 and 80776?

Greatest common factor (GCF) of 80758 and 80776 is 2.

GCF(80758,80776) = 2

We will now calculate the prime factors of 80758 and 80776, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80758 and 80776.

How to find the GCF of 80758 and 80776?

We will first find the prime factorization of 80758 and 80776. After we will calculate the factors of 80758 and 80776 and find the biggest common factor number .

Step-1: Prime Factorization of 80758

Prime factors of 80758 are 2, 149, 271. Prime factorization of 80758 in exponential form is:

80758 = 2¹ × 149¹ × 271¹

Step-2: Prime Factorization of 80776

Prime factors of 80776 are 2, 23, 439. Prime factorization of 80776 in exponential form is:

80776 = 2³ × 23¹ × 439¹

Step-3: Factors of 80758

List of positive integer factors of 80758 that divides 80758 without a remainder.

1, 2, 149, 271, 298, 542, 40379

Step-4: Factors of 80776

List of positive integer factors of 80776 that divides 80758 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184, 439, 878, 1756, 3512, 10097, 20194, 40388

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80758 and 80776. The biggest common factor number is the GCF number.
So the greatest common factor 80758 and 80776 is 2.

Also check out the Least Common Multiple of 80758 and 80776