What is the Greatest Common Factor of 73056 and 73070?

Greatest common factor (GCF) of 73056 and 73070 is 2.

GCF(73056,73070) = 2

We will now calculate the prime factors of 73056 and 73070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73056 and 73070.

How to find the GCF of 73056 and 73070?

We will first find the prime factorization of 73056 and 73070. After we will calculate the factors of 73056 and 73070 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 73070

Prime factors of 73070 are 2, 5, 7307. Prime factorization of 73070 in exponential form is:

73070 = 2¹ × 5¹ × 7307¹

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 73070

List of positive integer factors of 73070 that divides 73056 without a remainder.

1, 2, 5, 10, 7307, 14614, 36535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73056 and 73070. The biggest common factor number is the GCF number.
So the greatest common factor 73056 and 73070 is 2.

Also check out the Least Common Multiple of 73056 and 73070