What is the Greatest Common Factor of 40880 and 40896?

Greatest common factor (GCF) of 40880 and 40896 is 16.

GCF(40880,40896) = 16

We will now calculate the prime factors of 40880 and 40896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40880 and 40896.

How to find the GCF of 40880 and 40896?

We will first find the prime factorization of 40880 and 40896. After we will calculate the factors of 40880 and 40896 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 40896

Prime factors of 40896 are 2, 3, 71. Prime factorization of 40896 in exponential form is:

40896 = 2⁶ × 3² × 71¹

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 40896

List of positive integer factors of 40896 that divides 40880 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 71, 72, 96, 142, 144, 192, 213, 284, 288, 426, 568, 576, 639, 852, 1136, 1278, 1704, 2272, 2556, 3408, 4544, 5112, 6816, 10224, 13632, 20448

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40880 and 40896. The biggest common factor number is the GCF number.
So the greatest common factor 40880 and 40896 is 16.

Also check out the Least Common Multiple of 40880 and 40896