What is the Greatest Common Factor of 85764 and 85784?

Greatest common factor (GCF) of 85764 and 85784 is 4.

GCF(85764,85784) = 4

We will now calculate the prime factors of 85764 and 85784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85764 and 85784.

How to find the GCF of 85764 and 85784?

We will first find the prime factorization of 85764 and 85784. After we will calculate the factors of 85764 and 85784 and find the biggest common factor number .

Step-1: Prime Factorization of 85764

Prime factors of 85764 are 2, 3, 7, 1021. Prime factorization of 85764 in exponential form is:

85764 = 2² × 3¹ × 7¹ × 1021¹

Step-2: Prime Factorization of 85784

Prime factors of 85784 are 2, 10723. Prime factorization of 85784 in exponential form is:

85784 = 2³ × 10723¹

Step-3: Factors of 85764

List of positive integer factors of 85764 that divides 85764 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 1021, 2042, 3063, 4084, 6126, 7147, 12252, 14294, 21441, 28588, 42882

Step-4: Factors of 85784

List of positive integer factors of 85784 that divides 85764 without a remainder.

1, 2, 4, 8, 10723, 21446, 42892

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85764 and 85784. The biggest common factor number is the GCF number.
So the greatest common factor 85764 and 85784 is 4.

Also check out the Least Common Multiple of 85764 and 85784