What is the Greatest Common Factor of 40454 and 40460?

Greatest common factor (GCF) of 40454 and 40460 is 2.

GCF(40454,40460) = 2

We will now calculate the prime factors of 40454 and 40460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40454 and 40460.

How to find the GCF of 40454 and 40460?

We will first find the prime factorization of 40454 and 40460. After we will calculate the factors of 40454 and 40460 and find the biggest common factor number .

Step-1: Prime Factorization of 40454

Prime factors of 40454 are 2, 113, 179. Prime factorization of 40454 in exponential form is:

40454 = 2¹ × 113¹ × 179¹

Step-2: 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-3: Factors of 40454

List of positive integer factors of 40454 that divides 40454 without a remainder.

1, 2, 113, 179, 226, 358, 20227

Step-4: Factors of 40460

List of positive integer factors of 40460 that divides 40454 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40454 and 40460. The biggest common factor number is the GCF number.
So the greatest common factor 40454 and 40460 is 2.

Also check out the Least Common Multiple of 40454 and 40460