What is the Greatest Common Factor of 40873 and 40880?

Greatest common factor (GCF) of 40873 and 40880 is 7.

GCF(40873,40880) = 7

We will now calculate the prime factors of 40873 and 40880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40873 and 40880.

How to find the GCF of 40873 and 40880?

We will first find the prime factorization of 40873 and 40880. After we will calculate the factors of 40873 and 40880 and find the biggest common factor number .

Step-1: Prime Factorization of 40873

Prime factors of 40873 are 7, 5839. Prime factorization of 40873 in exponential form is:

40873 = 7¹ × 5839¹

Step-2: Prime Factorization of 40880

Prime factors of 40880 are 2, 5, 7, 73. Prime factorization of 40880 in exponential form is:

40880 = 2⁴ × 5¹ × 7¹ × 73¹

Step-3: Factors of 40873

List of positive integer factors of 40873 that divides 40873 without a remainder.

1, 7, 5839

Step-4: Factors of 40880

List of positive integer factors of 40880 that divides 40873 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 73, 80, 112, 140, 146, 280, 292, 365, 511, 560, 584, 730, 1022, 1168, 1460, 2044, 2555, 2920, 4088, 5110, 5840, 8176, 10220, 20440

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40873 and 40880. The biggest common factor number is the GCF number.
So the greatest common factor 40873 and 40880 is 7.

Also check out the Least Common Multiple of 40873 and 40880