What is the Greatest Common Factor of 40860 and 40880?

Greatest common factor (GCF) of 40860 and 40880 is 20.

GCF(40860,40880) = 20

We will now calculate the prime factors of 40860 and 40880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40860 and 40880.

How to find the GCF of 40860 and 40880?

We will first find the prime factorization of 40860 and 40880. After we will calculate the factors of 40860 and 40880 and find the biggest common factor number .

Step-1: Prime Factorization of 40860

Prime factors of 40860 are 2, 3, 5, 227. Prime factorization of 40860 in exponential form is:

40860 = 2² × 3² × 5¹ × 227¹

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 40860

List of positive integer factors of 40860 that divides 40860 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 227, 454, 681, 908, 1135, 1362, 2043, 2270, 2724, 3405, 4086, 4540, 6810, 8172, 10215, 13620, 20430

Step-4: Factors of 40880

List of positive integer factors of 40880 that divides 40860 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 40860 and 40880. The biggest common factor number is the GCF number.
So the greatest common factor 40860 and 40880 is 20.

Also check out the Least Common Multiple of 40860 and 40880