What is the Greatest Common Factor of 40460 and 40467?

Greatest common factor (GCF) of 40460 and 40467 is 7.

GCF(40460,40467) = 7

We will now calculate the prime factors of 40460 and 40467, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40460 and 40467.

How to find the GCF of 40460 and 40467?

We will first find the prime factorization of 40460 and 40467. After we will calculate the factors of 40460 and 40467 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 40467

Prime factors of 40467 are 3, 7, 41, 47. Prime factorization of 40467 in exponential form is:

40467 = 3¹ × 7¹ × 41¹ × 47¹

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 40467

List of positive integer factors of 40467 that divides 40460 without a remainder.

1, 3, 7, 21, 41, 47, 123, 141, 287, 329, 861, 987, 1927, 5781, 13489

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40460 and 40467. The biggest common factor number is the GCF number.
So the greatest common factor 40460 and 40467 is 7.

Also check out the Least Common Multiple of 40460 and 40467