What is the Greatest Common Factor of 40880 and 40891?

Greatest common factor (GCF) of 40880 and 40891 is 1.

GCF(40880,40891) = 1

We will now calculate the prime factors of 40880 and 40891, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40880 and 40891.

How to find the GCF of 40880 and 40891?

We will first find the prime factorization of 40880 and 40891. After we will calculate the factors of 40880 and 40891 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 40891

Prime factors of 40891 are 103, 397. Prime factorization of 40891 in exponential form is:

40891 = 103¹ × 397¹

Step-3: Factors of 40880

List of positive integer factors of 40880 that divides 40880 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

Step-4: Factors of 40891

List of positive integer factors of 40891 that divides 40880 without a remainder.

1, 103, 397

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40880 and 40891. The biggest common factor number is the GCF number.
So the greatest common factor 40880 and 40891 is 1.

Also check out the Least Common Multiple of 40880 and 40891