What is the Greatest Common Factor of 72032 and 72052?

Greatest common factor (GCF) of 72032 and 72052 is 4.

GCF(72032,72052) = 4

We will now calculate the prime factors of 72032 and 72052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72032 and 72052.

How to find the GCF of 72032 and 72052?

We will first find the prime factorization of 72032 and 72052. After we will calculate the factors of 72032 and 72052 and find the biggest common factor number .

Step-1: Prime Factorization of 72032

Prime factors of 72032 are 2, 2251. Prime factorization of 72032 in exponential form is:

72032 = 2⁵ × 2251¹

Step-2: Prime Factorization of 72052

Prime factors of 72052 are 2, 18013. Prime factorization of 72052 in exponential form is:

72052 = 2² × 18013¹

Step-3: Factors of 72032

List of positive integer factors of 72032 that divides 72032 without a remainder.

1, 2, 4, 8, 16, 32, 2251, 4502, 9004, 18008, 36016

Step-4: Factors of 72052

List of positive integer factors of 72052 that divides 72032 without a remainder.

1, 2, 4, 18013, 36026

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72032 and 72052. The biggest common factor number is the GCF number.
So the greatest common factor 72032 and 72052 is 4.

Also check out the Least Common Multiple of 72032 and 72052