What is the Greatest Common Factor of 85064 and 85072?

Greatest common factor (GCF) of 85064 and 85072 is 8.

GCF(85064,85072) = 8

We will now calculate the prime factors of 85064 and 85072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85064 and 85072.

How to find the GCF of 85064 and 85072?

We will first find the prime factorization of 85064 and 85072. After we will calculate the factors of 85064 and 85072 and find the biggest common factor number .

Step-1: Prime Factorization of 85064

Prime factors of 85064 are 2, 7, 31. Prime factorization of 85064 in exponential form is:

85064 = 2³ × 7³ × 31¹

Step-2: 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-3: Factors of 85064

List of positive integer factors of 85064 that divides 85064 without a remainder.

1, 2, 4, 7, 8, 14, 28, 31, 49, 56, 62, 98, 124, 196, 217, 248, 343, 392, 434, 686, 868, 1372, 1519, 1736, 2744, 3038, 6076, 10633, 12152, 21266, 42532

Step-4: Factors of 85072

List of positive integer factors of 85072 that divides 85064 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85064 and 85072. The biggest common factor number is the GCF number.
So the greatest common factor 85064 and 85072 is 8.

Also check out the Least Common Multiple of 85064 and 85072