What is the Greatest Common Factor of 71673 and 71680?

Greatest common factor (GCF) of 71673 and 71680 is 7.

GCF(71673,71680) = 7

We will now calculate the prime factors of 71673 and 71680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71673 and 71680.

How to find the GCF of 71673 and 71680?

We will first find the prime factorization of 71673 and 71680. After we will calculate the factors of 71673 and 71680 and find the biggest common factor number .

Step-1: Prime Factorization of 71673

Prime factors of 71673 are 3, 7, 3413. Prime factorization of 71673 in exponential form is:

71673 = 3¹ × 7¹ × 3413¹

Step-2: Prime Factorization of 71680

Prime factors of 71680 are 2, 5, 7. Prime factorization of 71680 in exponential form is:

71680 = 2¹¹ × 5¹ × 7¹

Step-3: Factors of 71673

List of positive integer factors of 71673 that divides 71673 without a remainder.

1, 3, 7, 21, 3413, 10239, 23891

Step-4: Factors of 71680

List of positive integer factors of 71680 that divides 71673 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 128, 140, 160, 224, 256, 280, 320, 448, 512, 560, 640, 896, 1024, 1120, 1280, 1792, 2048, 2240, 2560, 3584, 4480, 5120, 7168, 8960, 10240, 14336, 17920, 35840

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71673 and 71680. The biggest common factor number is the GCF number.
So the greatest common factor 71673 and 71680 is 7.

Also check out the Least Common Multiple of 71673 and 71680