What is the Greatest Common Factor of 85029 and 85036?

Greatest common factor (GCF) of 85029 and 85036 is 7.

GCF(85029,85036) = 7

We will now calculate the prime factors of 85029 and 85036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85029 and 85036.

How to find the GCF of 85029 and 85036?

We will first find the prime factorization of 85029 and 85036. After we will calculate the factors of 85029 and 85036 and find the biggest common factor number .

Step-1: Prime Factorization of 85029

Prime factors of 85029 are 3, 7, 4049. Prime factorization of 85029 in exponential form is:

85029 = 3¹ × 7¹ × 4049¹

Step-2: Prime Factorization of 85036

Prime factors of 85036 are 2, 7, 3037. Prime factorization of 85036 in exponential form is:

85036 = 2² × 7¹ × 3037¹

Step-3: Factors of 85029

List of positive integer factors of 85029 that divides 85029 without a remainder.

1, 3, 7, 21, 4049, 12147, 28343

Step-4: Factors of 85036

List of positive integer factors of 85036 that divides 85029 without a remainder.

1, 2, 4, 7, 14, 28, 3037, 6074, 12148, 21259, 42518

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85029 and 85036. The biggest common factor number is the GCF number.
So the greatest common factor 85029 and 85036 is 7.

Also check out the Least Common Multiple of 85029 and 85036