What is the Greatest Common Factor of 72049 and 72060?

Greatest common factor (GCF) of 72049 and 72060 is 1.

GCF(72049,72060) = 1

We will now calculate the prime factors of 72049 and 72060, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72049 and 72060.

How to find the GCF of 72049 and 72060?

We will first find the prime factorization of 72049 and 72060. After we will calculate the factors of 72049 and 72060 and find the biggest common factor number .

Step-1: Prime Factorization of 72049

Prime factors of 72049 are 109, 661. Prime factorization of 72049 in exponential form is:

72049 = 109¹ × 661¹

Step-2: 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-3: Factors of 72049

List of positive integer factors of 72049 that divides 72049 without a remainder.

1, 109, 661

Step-4: Factors of 72060

List of positive integer factors of 72060 that divides 72049 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72049 and 72060. The biggest common factor number is the GCF number.
So the greatest common factor 72049 and 72060 is 1.

Also check out the Least Common Multiple of 72049 and 72060