What is the Greatest Common Factor of 72030 and 72037?

Greatest common factor (GCF) of 72030 and 72037 is 7.

GCF(72030,72037) = 7

We will now calculate the prime factors of 72030 and 72037, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72030 and 72037.

How to find the GCF of 72030 and 72037?

We will first find the prime factorization of 72030 and 72037. After we will calculate the factors of 72030 and 72037 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 72037

Prime factors of 72037 are 7, 41, 251. Prime factorization of 72037 in exponential form is:

72037 = 7¹ × 41¹ × 251¹

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 72037

List of positive integer factors of 72037 that divides 72030 without a remainder.

1, 7, 41, 251, 287, 1757, 10291

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72030 and 72037. The biggest common factor number is the GCF number.
So the greatest common factor 72030 and 72037 is 7.

Also check out the Least Common Multiple of 72030 and 72037