What is the Greatest Common Factor of 72030 and 72049?

Greatest common factor (GCF) of 72030 and 72049 is 1.

GCF(72030,72049) = 1

We will now calculate the prime factors of 72030 and 72049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72030 and 72049.

How to find the GCF of 72030 and 72049?

We will first find the prime factorization of 72030 and 72049. After we will calculate the factors of 72030 and 72049 and find the biggest common factor number .

Step-1: Prime Factorization of 72030

Prime factors of 72030 are 2, 3, 5, 7. Prime factorization of 72030 in exponential form is:

72030 = 2¹ × 3¹ × 5¹ × 7⁴

Step-2: Prime Factorization of 72049

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

72049 = 109¹ × 661¹

Step-3: Factors of 72030

List of positive integer factors of 72030 that divides 72030 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 49, 70, 98, 105, 147, 210, 245, 294, 343, 490, 686, 735, 1029, 1470, 1715, 2058, 2401, 3430, 4802, 5145, 7203, 10290, 12005, 14406, 24010, 36015

Step-4: Factors of 72049

List of positive integer factors of 72049 that divides 72030 without a remainder.

1, 109, 661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72030 and 72049. The biggest common factor number is the GCF number.
So the greatest common factor 72030 and 72049 is 1.

Also check out the Least Common Multiple of 72030 and 72049