What is the Greatest Common Factor of 73056 and 73060?

Greatest common factor (GCF) of 73056 and 73060 is 4.

GCF(73056,73060) = 4

We will now calculate the prime factors of 73056 and 73060, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73056 and 73060.

How to find the GCF of 73056 and 73060?

We will first find the prime factorization of 73056 and 73060. After we will calculate the factors of 73056 and 73060 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 73060

Prime factors of 73060 are 2, 5, 13, 281. Prime factorization of 73060 in exponential form is:

73060 = 2² × 5¹ × 13¹ × 281¹

Step-3: Factors of 73056

List of positive integer factors of 73056 that divides 73056 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

Step-4: Factors of 73060

List of positive integer factors of 73060 that divides 73056 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260, 281, 562, 1124, 1405, 2810, 3653, 5620, 7306, 14612, 18265, 36530

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73056 and 73060. The biggest common factor number is the GCF number.
So the greatest common factor 73056 and 73060 is 4.

Also check out the Least Common Multiple of 73056 and 73060