What is the Greatest Common Factor of 72060 and 72080?

Greatest common factor (GCF) of 72060 and 72080 is 20.

GCF(72060,72080) = 20

We will now calculate the prime factors of 72060 and 72080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72060 and 72080.

How to find the GCF of 72060 and 72080?

We will first find the prime factorization of 72060 and 72080. After we will calculate the factors of 72060 and 72080 and find the biggest common factor number .

Step-1: Prime Factorization of 72060

Prime factors of 72060 are 2, 3, 5, 1201. Prime factorization of 72060 in exponential form is:

72060 = 2² × 3¹ × 5¹ × 1201¹

Step-2: Prime Factorization of 72080

Prime factors of 72080 are 2, 5, 17, 53. Prime factorization of 72080 in exponential form is:

72080 = 2⁴ × 5¹ × 17¹ × 53¹

Step-3: Factors of 72060

List of positive integer factors of 72060 that divides 72060 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1201, 2402, 3603, 4804, 6005, 7206, 12010, 14412, 18015, 24020, 36030

Step-4: Factors of 72080

List of positive integer factors of 72080 that divides 72060 without a remainder.

1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 53, 68, 80, 85, 106, 136, 170, 212, 265, 272, 340, 424, 530, 680, 848, 901, 1060, 1360, 1802, 2120, 3604, 4240, 4505, 7208, 9010, 14416, 18020, 36040

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72060 and 72080. The biggest common factor number is the GCF number.
So the greatest common factor 72060 and 72080 is 20.

Also check out the Least Common Multiple of 72060 and 72080