What is the Greatest Common Factor of 40480 and 40492?

Greatest common factor (GCF) of 40480 and 40492 is 4.

GCF(40480,40492) = 4

We will now calculate the prime factors of 40480 and 40492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40480 and 40492.

How to find the GCF of 40480 and 40492?

We will first find the prime factorization of 40480 and 40492. After we will calculate the factors of 40480 and 40492 and find the biggest common factor number .

Step-1: Prime Factorization of 40480

Prime factors of 40480 are 2, 5, 11, 23. Prime factorization of 40480 in exponential form is:

40480 = 2⁵ × 5¹ × 11¹ × 23¹

Step-2: Prime Factorization of 40492

Prime factors of 40492 are 2, 53, 191. Prime factorization of 40492 in exponential form is:

40492 = 2² × 53¹ × 191¹

Step-3: Factors of 40480

List of positive integer factors of 40480 that divides 40480 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 23, 32, 40, 44, 46, 55, 80, 88, 92, 110, 115, 160, 176, 184, 220, 230, 253, 352, 368, 440, 460, 506, 736, 880, 920, 1012, 1265, 1760, 1840, 2024, 2530, 3680, 4048, 5060, 8096, 10120, 20240

Step-4: Factors of 40492

List of positive integer factors of 40492 that divides 40480 without a remainder.

1, 2, 4, 53, 106, 191, 212, 382, 764, 10123, 20246

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40480 and 40492. The biggest common factor number is the GCF number.
So the greatest common factor 40480 and 40492 is 4.

Also check out the Least Common Multiple of 40480 and 40492