What is the Greatest Common Factor of 85072 and 85087?

Greatest common factor (GCF) of 85072 and 85087 is 1.

GCF(85072,85087) = 1

We will now calculate the prime factors of 85072 and 85087, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85072 and 85087.

How to find the GCF of 85072 and 85087?

We will first find the prime factorization of 85072 and 85087. After we will calculate the factors of 85072 and 85087 and find the biggest common factor number .

Step-1: Prime Factorization of 85072

Prime factors of 85072 are 2, 13, 409. Prime factorization of 85072 in exponential form is:

85072 = 2⁴ × 13¹ × 409¹

Step-2: Prime Factorization of 85087

Prime factors of 85087 are 85087. Prime factorization of 85087 in exponential form is:

85087 = 85087¹

Step-3: Factors of 85072

List of positive integer factors of 85072 that divides 85072 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 409, 818, 1636, 3272, 5317, 6544, 10634, 21268, 42536

Step-4: Factors of 85087

List of positive integer factors of 85087 that divides 85072 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85072 and 85087. The biggest common factor number is the GCF number.
So the greatest common factor 85072 and 85087 is 1.

Also check out the Least Common Multiple of 85072 and 85087