What is the Greatest Common Factor of 30032 and 30040?

Greatest common factor (GCF) of 30032 and 30040 is 8.

GCF(30032,30040) = 8

We will now calculate the prime factors of 30032 and 30040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30032 and 30040.

How to find the GCF of 30032 and 30040?

We will first find the prime factorization of 30032 and 30040. After we will calculate the factors of 30032 and 30040 and find the biggest common factor number .

Step-1: Prime Factorization of 30032

Prime factors of 30032 are 2, 1877. Prime factorization of 30032 in exponential form is:

30032 = 2⁴ × 1877¹

Step-2: Prime Factorization of 30040

Prime factors of 30040 are 2, 5, 751. Prime factorization of 30040 in exponential form is:

30040 = 2³ × 5¹ × 751¹

Step-3: Factors of 30032

List of positive integer factors of 30032 that divides 30032 without a remainder.

1, 2, 4, 8, 16, 1877, 3754, 7508, 15016

Step-4: Factors of 30040

List of positive integer factors of 30040 that divides 30032 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 751, 1502, 3004, 3755, 6008, 7510, 15020

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30032 and 30040. The biggest common factor number is the GCF number.
So the greatest common factor 30032 and 30040 is 8.

Also check out the Least Common Multiple of 30032 and 30040