What is the Greatest Common Factor of 80480 and 80494?

Greatest common factor (GCF) of 80480 and 80494 is 2.

GCF(80480,80494) = 2

We will now calculate the prime factors of 80480 and 80494, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80480 and 80494.

How to find the GCF of 80480 and 80494?

We will first find the prime factorization of 80480 and 80494. After we will calculate the factors of 80480 and 80494 and find the biggest common factor number .

Step-1: Prime Factorization of 80480

Prime factors of 80480 are 2, 5, 503. Prime factorization of 80480 in exponential form is:

80480 = 2⁵ × 5¹ × 503¹

Step-2: 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-3: Factors of 80480

List of positive integer factors of 80480 that divides 80480 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 503, 1006, 2012, 2515, 4024, 5030, 8048, 10060, 16096, 20120, 40240

Step-4: Factors of 80494

List of positive integer factors of 80494 that divides 80480 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80480 and 80494. The biggest common factor number is the GCF number.
So the greatest common factor 80480 and 80494 is 2.

Also check out the Least Common Multiple of 80480 and 80494