What is the Greatest Common Factor of 85072 and 85080?

Greatest common factor (GCF) of 85072 and 85080 is 8.

GCF(85072,85080) = 8

We will now calculate the prime factors of 85072 and 85080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85072 and 85080.

How to find the GCF of 85072 and 85080?

We will first find the prime factorization of 85072 and 85080. After we will calculate the factors of 85072 and 85080 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 85080

Prime factors of 85080 are 2, 3, 5, 709. Prime factorization of 85080 in exponential form is:

85080 = 2³ × 3¹ × 5¹ × 709¹

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 85080

List of positive integer factors of 85080 that divides 85072 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 709, 1418, 2127, 2836, 3545, 4254, 5672, 7090, 8508, 10635, 14180, 17016, 21270, 28360, 42540

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85072 and 85080. The biggest common factor number is the GCF number.
So the greatest common factor 85072 and 85080 is 8.

Also check out the Least Common Multiple of 85072 and 85080