What is the Greatest Common Factor of 36071 and 36085?

Greatest common factor (GCF) of 36071 and 36085 is 7.

GCF(36071,36085) = 7

We will now calculate the prime factors of 36071 and 36085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36071 and 36085.

How to find the GCF of 36071 and 36085?

We will first find the prime factorization of 36071 and 36085. After we will calculate the factors of 36071 and 36085 and find the biggest common factor number .

Step-1: Prime Factorization of 36071

Prime factors of 36071 are 7, 5153. Prime factorization of 36071 in exponential form is:

36071 = 7¹ × 5153¹

Step-2: Prime Factorization of 36085

Prime factors of 36085 are 5, 7, 1031. Prime factorization of 36085 in exponential form is:

36085 = 5¹ × 7¹ × 1031¹

Step-3: Factors of 36071

List of positive integer factors of 36071 that divides 36071 without a remainder.

1, 7, 5153

Step-4: Factors of 36085

List of positive integer factors of 36085 that divides 36071 without a remainder.

1, 5, 7, 35, 1031, 5155, 7217

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36071 and 36085. The biggest common factor number is the GCF number.
So the greatest common factor 36071 and 36085 is 7.

Also check out the Least Common Multiple of 36071 and 36085