What is the Greatest Common Factor of 85705 and 85724?

Greatest common factor (GCF) of 85705 and 85724 is 1.

GCF(85705,85724) = 1

We will now calculate the prime factors of 85705 and 85724, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85705 and 85724.

How to find the GCF of 85705 and 85724?

We will first find the prime factorization of 85705 and 85724. After we will calculate the factors of 85705 and 85724 and find the biggest common factor number .

Step-1: Prime Factorization of 85705

Prime factors of 85705 are 5, 61, 281. Prime factorization of 85705 in exponential form is:

85705 = 5¹ × 61¹ × 281¹

Step-2: Prime Factorization of 85724

Prime factors of 85724 are 2, 29, 739. Prime factorization of 85724 in exponential form is:

85724 = 2² × 29¹ × 739¹

Step-3: Factors of 85705

List of positive integer factors of 85705 that divides 85705 without a remainder.

1, 5, 61, 281, 305, 1405, 17141

Step-4: Factors of 85724

List of positive integer factors of 85724 that divides 85705 without a remainder.

1, 2, 4, 29, 58, 116, 739, 1478, 2956, 21431, 42862

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85705 and 85724. The biggest common factor number is the GCF number.
So the greatest common factor 85705 and 85724 is 1.

Also check out the Least Common Multiple of 85705 and 85724