What is the Greatest Common Factor of 40870 and 40880?

Greatest common factor (GCF) of 40870 and 40880 is 10.

GCF(40870,40880) = 10

We will now calculate the prime factors of 40870 and 40880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40870 and 40880.

How to find the GCF of 40870 and 40880?

We will first find the prime factorization of 40870 and 40880. After we will calculate the factors of 40870 and 40880 and find the biggest common factor number .

Step-1: Prime Factorization of 40870

Prime factors of 40870 are 2, 5, 61, 67. Prime factorization of 40870 in exponential form is:

40870 = 2¹ × 5¹ × 61¹ × 67¹

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 40870

List of positive integer factors of 40870 that divides 40870 without a remainder.

1, 2, 5, 10, 61, 67, 122, 134, 305, 335, 610, 670, 4087, 8174, 20435

Step-4: Factors of 40880

List of positive integer factors of 40880 that divides 40870 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 40870 and 40880. The biggest common factor number is the GCF number.
So the greatest common factor 40870 and 40880 is 10.

Also check out the Least Common Multiple of 40870 and 40880