What is the Greatest Common Factor of 36015 and 36031?

Greatest common factor (GCF) of 36015 and 36031 is 1.

GCF(36015,36031) = 1

We will now calculate the prime factors of 36015 and 36031, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36015 and 36031.

How to find the GCF of 36015 and 36031?

We will first find the prime factorization of 36015 and 36031. After we will calculate the factors of 36015 and 36031 and find the biggest common factor number .

Step-1: Prime Factorization of 36015

Prime factors of 36015 are 3, 5, 7. Prime factorization of 36015 in exponential form is:

36015 = 3¹ × 5¹ × 7⁴

Step-2: Prime Factorization of 36031

Prime factors of 36031 are 137, 263. Prime factorization of 36031 in exponential form is:

36031 = 137¹ × 263¹

Step-3: Factors of 36015

List of positive integer factors of 36015 that divides 36015 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 343, 735, 1029, 1715, 2401, 5145, 7203, 12005

Step-4: Factors of 36031

List of positive integer factors of 36031 that divides 36015 without a remainder.

1, 137, 263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36015 and 36031. The biggest common factor number is the GCF number.
So the greatest common factor 36015 and 36031 is 1.

Also check out the Least Common Multiple of 36015 and 36031