What is the Greatest Common Factor of 85028 and 85040?

Greatest common factor (GCF) of 85028 and 85040 is 4.

GCF(85028,85040) = 4

We will now calculate the prime factors of 85028 and 85040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85028 and 85040.

How to find the GCF of 85028 and 85040?

We will first find the prime factorization of 85028 and 85040. After we will calculate the factors of 85028 and 85040 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 85040

Prime factors of 85040 are 2, 5, 1063. Prime factorization of 85040 in exponential form is:

85040 = 2⁴ × 5¹ × 1063¹

Step-3: Factors of 85028

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

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

Step-4: Factors of 85040

List of positive integer factors of 85040 that divides 85028 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1063, 2126, 4252, 5315, 8504, 10630, 17008, 21260, 42520

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85028 and 85040. The biggest common factor number is the GCF number.
So the greatest common factor 85028 and 85040 is 4.

Also check out the Least Common Multiple of 85028 and 85040