What is the Greatest Common Factor of 80541 and 80560?

Greatest common factor (GCF) of 80541 and 80560 is 19.

GCF(80541,80560) = 19

We will now calculate the prime factors of 80541 and 80560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80541 and 80560.

How to find the GCF of 80541 and 80560?

We will first find the prime factorization of 80541 and 80560. After we will calculate the factors of 80541 and 80560 and find the biggest common factor number .

Step-1: Prime Factorization of 80541

Prime factors of 80541 are 3, 19, 157. Prime factorization of 80541 in exponential form is:

80541 = 3³ × 19¹ × 157¹

Step-2: 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-3: Factors of 80541

List of positive integer factors of 80541 that divides 80541 without a remainder.

1, 3, 9, 19, 27, 57, 157, 171, 471, 513, 1413, 2983, 4239, 8949, 26847

Step-4: Factors of 80560

List of positive integer factors of 80560 that divides 80541 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80541 and 80560. The biggest common factor number is the GCF number.
So the greatest common factor 80541 and 80560 is 19.

Also check out the Least Common Multiple of 80541 and 80560