What is the Greatest Common Factor of 40092 and 40105?

Greatest common factor (GCF) of 40092 and 40105 is 13.

GCF(40092,40105) = 13

We will now calculate the prime factors of 40092 and 40105, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40092 and 40105.

How to find the GCF of 40092 and 40105?

We will first find the prime factorization of 40092 and 40105. After we will calculate the factors of 40092 and 40105 and find the biggest common factor number .

Step-1: Prime Factorization of 40092

Prime factors of 40092 are 2, 3, 13, 257. Prime factorization of 40092 in exponential form is:

40092 = 2² × 3¹ × 13¹ × 257¹

Step-2: Prime Factorization of 40105

Prime factors of 40105 are 5, 13, 617. Prime factorization of 40105 in exponential form is:

40105 = 5¹ × 13¹ × 617¹

Step-3: Factors of 40092

List of positive integer factors of 40092 that divides 40092 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 257, 514, 771, 1028, 1542, 3084, 3341, 6682, 10023, 13364, 20046

Step-4: Factors of 40105

List of positive integer factors of 40105 that divides 40092 without a remainder.

1, 5, 13, 65, 617, 3085, 8021

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40092 and 40105. The biggest common factor number is the GCF number.
So the greatest common factor 40092 and 40105 is 13.

Also check out the Least Common Multiple of 40092 and 40105