What is the Greatest Common Factor of 40157 and 40170?

Greatest common factor (GCF) of 40157 and 40170 is 13.

GCF(40157,40170) = 13

We will now calculate the prime factors of 40157 and 40170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40157 and 40170.

How to find the GCF of 40157 and 40170?

We will first find the prime factorization of 40157 and 40170. After we will calculate the factors of 40157 and 40170 and find the biggest common factor number .

Step-1: Prime Factorization of 40157

Prime factors of 40157 are 13, 3089. Prime factorization of 40157 in exponential form is:

40157 = 13¹ × 3089¹

Step-2: Prime Factorization of 40170

Prime factors of 40170 are 2, 3, 5, 13, 103. Prime factorization of 40170 in exponential form is:

40170 = 2¹ × 3¹ × 5¹ × 13¹ × 103¹

Step-3: Factors of 40157

List of positive integer factors of 40157 that divides 40157 without a remainder.

1, 13, 3089

Step-4: Factors of 40170

List of positive integer factors of 40170 that divides 40157 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 103, 130, 195, 206, 309, 390, 515, 618, 1030, 1339, 1545, 2678, 3090, 4017, 6695, 8034, 13390, 20085

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40157 and 40170. The biggest common factor number is the GCF number.
So the greatest common factor 40157 and 40170 is 13.

Also check out the Least Common Multiple of 40157 and 40170