What is the Greatest Common Factor of 80464 and 80480?

Greatest common factor (GCF) of 80464 and 80480 is 16.

GCF(80464,80480) = 16

We will now calculate the prime factors of 80464 and 80480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80464 and 80480.

How to find the GCF of 80464 and 80480?

We will first find the prime factorization of 80464 and 80480. After we will calculate the factors of 80464 and 80480 and find the biggest common factor number .

Step-1: Prime Factorization of 80464

Prime factors of 80464 are 2, 47, 107. Prime factorization of 80464 in exponential form is:

80464 = 2⁴ × 47¹ × 107¹

Step-2: 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-3: Factors of 80464

List of positive integer factors of 80464 that divides 80464 without a remainder.

1, 2, 4, 8, 16, 47, 94, 107, 188, 214, 376, 428, 752, 856, 1712, 5029, 10058, 20116, 40232

Step-4: Factors of 80480

List of positive integer factors of 80480 that divides 80464 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80464 and 80480. The biggest common factor number is the GCF number.
So the greatest common factor 80464 and 80480 is 16.

Also check out the Least Common Multiple of 80464 and 80480