What is the Greatest Common Factor of 80560 and 80564?

Greatest common factor (GCF) of 80560 and 80564 is 4.

GCF(80560,80564) = 4

We will now calculate the prime factors of 80560 and 80564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80560 and 80564.

How to find the GCF of 80560 and 80564?

We will first find the prime factorization of 80560 and 80564. After we will calculate the factors of 80560 and 80564 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 80564

Prime factors of 80564 are 2, 11, 1831. Prime factorization of 80564 in exponential form is:

80564 = 2² × 11¹ × 1831¹

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 80564

List of positive integer factors of 80564 that divides 80560 without a remainder.

1, 2, 4, 11, 22, 44, 1831, 3662, 7324, 20141, 40282

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80560 and 80564. The biggest common factor number is the GCF number.
So the greatest common factor 80560 and 80564 is 4.

Also check out the Least Common Multiple of 80560 and 80564