What is the Greatest Common Factor of 40115 and 40120?

Greatest common factor (GCF) of 40115 and 40120 is 5.

GCF(40115,40120) = 5

We will now calculate the prime factors of 40115 and 40120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40115 and 40120.

How to find the GCF of 40115 and 40120?

We will first find the prime factorization of 40115 and 40120. After we will calculate the factors of 40115 and 40120 and find the biggest common factor number .

Step-1: Prime Factorization of 40115

Prime factors of 40115 are 5, 71, 113. Prime factorization of 40115 in exponential form is:

40115 = 5¹ × 71¹ × 113¹

Step-2: Prime Factorization of 40120

Prime factors of 40120 are 2, 5, 17, 59. Prime factorization of 40120 in exponential form is:

40120 = 2³ × 5¹ × 17¹ × 59¹

Step-3: Factors of 40115

List of positive integer factors of 40115 that divides 40115 without a remainder.

1, 5, 71, 113, 355, 565, 8023

Step-4: Factors of 40120

List of positive integer factors of 40120 that divides 40115 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 59, 68, 85, 118, 136, 170, 236, 295, 340, 472, 590, 680, 1003, 1180, 2006, 2360, 4012, 5015, 8024, 10030, 20060

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40115 and 40120. The biggest common factor number is the GCF number.
So the greatest common factor 40115 and 40120 is 5.

Also check out the Least Common Multiple of 40115 and 40120