What is the Greatest Common Factor of 40105 and 40120?

Greatest common factor (GCF) of 40105 and 40120 is 5.

GCF(40105,40120) = 5

We will now calculate the prime factors of 40105 and 40120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40105 and 40120.

How to find the GCF of 40105 and 40120?

We will first find the prime factorization of 40105 and 40120. After we will calculate the factors of 40105 and 40120 and find the biggest common factor number .

Step-1: 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-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 40105

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

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

Step-4: Factors of 40120

List of positive integer factors of 40120 that divides 40105 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 40105 and 40120. The biggest common factor number is the GCF number.
So the greatest common factor 40105 and 40120 is 5.

Also check out the Least Common Multiple of 40105 and 40120