What is the Greatest Common Factor of 73052 and 73056?

Greatest common factor (GCF) of 73052 and 73056 is 4.

GCF(73052,73056) = 4

We will now calculate the prime factors of 73052 and 73056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73052 and 73056.

How to find the GCF of 73052 and 73056?

We will first find the prime factorization of 73052 and 73056. After we will calculate the factors of 73052 and 73056 and find the biggest common factor number .

Step-1: Prime Factorization of 73052

Prime factors of 73052 are 2, 7, 2609. Prime factorization of 73052 in exponential form is:

73052 = 2² × 7¹ × 2609¹

Step-2: Prime Factorization of 73056

Prime factors of 73056 are 2, 3, 761. Prime factorization of 73056 in exponential form is:

73056 = 2⁵ × 3¹ × 761¹

Step-3: Factors of 73052

List of positive integer factors of 73052 that divides 73052 without a remainder.

1, 2, 4, 7, 14, 28, 2609, 5218, 10436, 18263, 36526

Step-4: Factors of 73056

List of positive integer factors of 73056 that divides 73052 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 761, 1522, 2283, 3044, 4566, 6088, 9132, 12176, 18264, 24352, 36528

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73052 and 73056. The biggest common factor number is the GCF number.
So the greatest common factor 73052 and 73056 is 4.

Also check out the Least Common Multiple of 73052 and 73056