What is the Greatest Common Factor of 73072 and 73084?

Greatest common factor (GCF) of 73072 and 73084 is 4.

GCF(73072,73084) = 4

We will now calculate the prime factors of 73072 and 73084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73072 and 73084.

How to find the GCF of 73072 and 73084?

We will first find the prime factorization of 73072 and 73084. After we will calculate the factors of 73072 and 73084 and find the biggest common factor number .

Step-1: Prime Factorization of 73072

Prime factors of 73072 are 2, 4567. Prime factorization of 73072 in exponential form is:

73072 = 2⁴ × 4567¹

Step-2: Prime Factorization of 73084

Prime factors of 73084 are 2, 11, 151. Prime factorization of 73084 in exponential form is:

73084 = 2² × 11² × 151¹

Step-3: Factors of 73072

List of positive integer factors of 73072 that divides 73072 without a remainder.

1, 2, 4, 8, 16, 4567, 9134, 18268, 36536

Step-4: Factors of 73084

List of positive integer factors of 73084 that divides 73072 without a remainder.

1, 2, 4, 11, 22, 44, 121, 151, 242, 302, 484, 604, 1661, 3322, 6644, 18271, 36542

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73072 and 73084. The biggest common factor number is the GCF number.
So the greatest common factor 73072 and 73084 is 4.

Also check out the Least Common Multiple of 73072 and 73084