What is the Greatest Common Factor of 85745 and 85756?

Greatest common factor (GCF) of 85745 and 85756 is 11.

GCF(85745,85756) = 11

We will now calculate the prime factors of 85745 and 85756, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85745 and 85756.

How to find the GCF of 85745 and 85756?

We will first find the prime factorization of 85745 and 85756. After we will calculate the factors of 85745 and 85756 and find the biggest common factor number .

Step-1: Prime Factorization of 85745

Prime factors of 85745 are 5, 11, 1559. Prime factorization of 85745 in exponential form is:

85745 = 5¹ × 11¹ × 1559¹

Step-2: Prime Factorization of 85756

Prime factors of 85756 are 2, 11, 1949. Prime factorization of 85756 in exponential form is:

85756 = 2² × 11¹ × 1949¹

Step-3: Factors of 85745

List of positive integer factors of 85745 that divides 85745 without a remainder.

1, 5, 11, 55, 1559, 7795, 17149

Step-4: Factors of 85756

List of positive integer factors of 85756 that divides 85745 without a remainder.

1, 2, 4, 11, 22, 44, 1949, 3898, 7796, 21439, 42878

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85745 and 85756. The biggest common factor number is the GCF number.
So the greatest common factor 85745 and 85756 is 11.

Also check out the Least Common Multiple of 85745 and 85756