What is the Greatest Common Factor of 71852 and 71867?

Greatest common factor (GCF) of 71852 and 71867 is 1.

GCF(71852,71867) = 1

We will now calculate the prime factors of 71852 and 71867, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71852 and 71867.

How to find the GCF of 71852 and 71867?

We will first find the prime factorization of 71852 and 71867. After we will calculate the factors of 71852 and 71867 and find the biggest common factor number .

Step-1: Prime Factorization of 71852

Prime factors of 71852 are 2, 11, 23, 71. Prime factorization of 71852 in exponential form is:

71852 = 2² × 11¹ × 23¹ × 71¹

Step-2: Prime Factorization of 71867

Prime factors of 71867 are 71867. Prime factorization of 71867 in exponential form is:

71867 = 71867¹

Step-3: Factors of 71852

List of positive integer factors of 71852 that divides 71852 without a remainder.

1, 2, 4, 11, 22, 23, 44, 46, 71, 92, 142, 253, 284, 506, 781, 1012, 1562, 1633, 3124, 3266, 6532, 17963, 35926

Step-4: Factors of 71867

List of positive integer factors of 71867 that divides 71852 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71852 and 71867. The biggest common factor number is the GCF number.
So the greatest common factor 71852 and 71867 is 1.

Also check out the Least Common Multiple of 71852 and 71867