What is the Greatest Common Factor of 80494 and 80504?

Greatest common factor (GCF) of 80494 and 80504 is 2.

GCF(80494,80504) = 2

We will now calculate the prime factors of 80494 and 80504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80494 and 80504.

How to find the GCF of 80494 and 80504?

We will first find the prime factorization of 80494 and 80504. After we will calculate the factors of 80494 and 80504 and find the biggest common factor number .

Step-1: Prime Factorization of 80494

Prime factors of 80494 are 2, 167, 241. Prime factorization of 80494 in exponential form is:

80494 = 2¹ × 167¹ × 241¹

Step-2: Prime Factorization of 80504

Prime factors of 80504 are 2, 29, 347. Prime factorization of 80504 in exponential form is:

80504 = 2³ × 29¹ × 347¹

Step-3: Factors of 80494

List of positive integer factors of 80494 that divides 80494 without a remainder.

1, 2, 167, 241, 334, 482, 40247

Step-4: Factors of 80504

List of positive integer factors of 80504 that divides 80494 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232, 347, 694, 1388, 2776, 10063, 20126, 40252

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80494 and 80504. The biggest common factor number is the GCF number.
So the greatest common factor 80494 and 80504 is 2.

Also check out the Least Common Multiple of 80494 and 80504