What is the Greatest Common Factor of 40460 and 40480?

Greatest common factor (GCF) of 40460 and 40480 is 20.

GCF(40460,40480) = 20

We will now calculate the prime factors of 40460 and 40480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40460 and 40480.

How to find the GCF of 40460 and 40480?

We will first find the prime factorization of 40460 and 40480. After we will calculate the factors of 40460 and 40480 and find the biggest common factor number .

Step-1: Prime Factorization of 40460

Prime factors of 40460 are 2, 5, 7, 17. Prime factorization of 40460 in exponential form is:

40460 = 2² × 5¹ × 7¹ × 17²

Step-2: 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-3: Factors of 40460

List of positive integer factors of 40460 that divides 40460 without a remainder.

1, 2, 4, 5, 7, 10, 14, 17, 20, 28, 34, 35, 68, 70, 85, 119, 140, 170, 238, 289, 340, 476, 578, 595, 1156, 1190, 1445, 2023, 2380, 2890, 4046, 5780, 8092, 10115, 20230

Step-4: Factors of 40480

List of positive integer factors of 40480 that divides 40460 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40460 and 40480. The biggest common factor number is the GCF number.
So the greatest common factor 40460 and 40480 is 20.

Also check out the Least Common Multiple of 40460 and 40480