What is the Greatest Common Factor of 40862 and 40880?

Greatest common factor (GCF) of 40862 and 40880 is 2.

GCF(40862,40880) = 2

We will now calculate the prime factors of 40862 and 40880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40862 and 40880.

How to find the GCF of 40862 and 40880?

We will first find the prime factorization of 40862 and 40880. After we will calculate the factors of 40862 and 40880 and find the biggest common factor number .

Step-1: Prime Factorization of 40862

Prime factors of 40862 are 2, 20431. Prime factorization of 40862 in exponential form is:

40862 = 2¹ × 20431¹

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 40862

List of positive integer factors of 40862 that divides 40862 without a remainder.

1, 2, 20431

Step-4: Factors of 40880

List of positive integer factors of 40880 that divides 40862 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 40862 and 40880. The biggest common factor number is the GCF number.
So the greatest common factor 40862 and 40880 is 2.

Also check out the Least Common Multiple of 40862 and 40880