What is the Greatest Common Factor of 80560 and 80575?

Greatest common factor (GCF) of 80560 and 80575 is 5.

GCF(80560,80575) = 5

We will now calculate the prime factors of 80560 and 80575, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80560 and 80575.

How to find the GCF of 80560 and 80575?

We will first find the prime factorization of 80560 and 80575. After we will calculate the factors of 80560 and 80575 and find the biggest common factor number .

Step-1: Prime Factorization of 80560

Prime factors of 80560 are 2, 5, 19, 53. Prime factorization of 80560 in exponential form is:

80560 = 2⁴ × 5¹ × 19¹ × 53¹

Step-2: Prime Factorization of 80575

Prime factors of 80575 are 5, 11, 293. Prime factorization of 80575 in exponential form is:

80575 = 5² × 11¹ × 293¹

Step-3: Factors of 80560

List of positive integer factors of 80560 that divides 80560 without a remainder.

1, 2, 4, 5, 8, 10, 16, 19, 20, 38, 40, 53, 76, 80, 95, 106, 152, 190, 212, 265, 304, 380, 424, 530, 760, 848, 1007, 1060, 1520, 2014, 2120, 4028, 4240, 5035, 8056, 10070, 16112, 20140, 40280

Step-4: Factors of 80575

List of positive integer factors of 80575 that divides 80560 without a remainder.

1, 5, 11, 25, 55, 275, 293, 1465, 3223, 7325, 16115

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80560 and 80575. The biggest common factor number is the GCF number.
So the greatest common factor 80560 and 80575 is 5.

Also check out the Least Common Multiple of 80560 and 80575