What is the Greatest Common Factor of 85024 and 85028?

Greatest common factor (GCF) of 85024 and 85028 is 4.

GCF(85024,85028) = 4

We will now calculate the prime factors of 85024 and 85028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85024 and 85028.

How to find the GCF of 85024 and 85028?

We will first find the prime factorization of 85024 and 85028. After we will calculate the factors of 85024 and 85028 and find the biggest common factor number .

Step-1: Prime Factorization of 85024

Prime factors of 85024 are 2, 2657. Prime factorization of 85024 in exponential form is:

85024 = 2⁵ × 2657¹

Step-2: Prime Factorization of 85028

Prime factors of 85028 are 2, 29, 733. Prime factorization of 85028 in exponential form is:

85028 = 2² × 29¹ × 733¹

Step-3: Factors of 85024

List of positive integer factors of 85024 that divides 85024 without a remainder.

1, 2, 4, 8, 16, 32, 2657, 5314, 10628, 21256, 42512

Step-4: Factors of 85028

List of positive integer factors of 85028 that divides 85024 without a remainder.

1, 2, 4, 29, 58, 116, 733, 1466, 2932, 21257, 42514

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85024 and 85028. The biggest common factor number is the GCF number.
So the greatest common factor 85024 and 85028 is 4.

Also check out the Least Common Multiple of 85024 and 85028