What is the Greatest Common Factor of 85780 and 85792?

Greatest common factor (GCF) of 85780 and 85792 is 4.

GCF(85780,85792) = 4

We will now calculate the prime factors of 85780 and 85792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85780 and 85792.

How to find the GCF of 85780 and 85792?

We will first find the prime factorization of 85780 and 85792. After we will calculate the factors of 85780 and 85792 and find the biggest common factor number .

Step-1: Prime Factorization of 85780

Prime factors of 85780 are 2, 5, 4289. Prime factorization of 85780 in exponential form is:

85780 = 2² × 5¹ × 4289¹

Step-2: Prime Factorization of 85792

Prime factors of 85792 are 2, 7, 383. Prime factorization of 85792 in exponential form is:

85792 = 2⁵ × 7¹ × 383¹

Step-3: Factors of 85780

List of positive integer factors of 85780 that divides 85780 without a remainder.

1, 2, 4, 5, 10, 20, 4289, 8578, 17156, 21445, 42890

Step-4: Factors of 85792

List of positive integer factors of 85792 that divides 85780 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 383, 766, 1532, 2681, 3064, 5362, 6128, 10724, 12256, 21448, 42896

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85780 and 85792. The biggest common factor number is the GCF number.
So the greatest common factor 85780 and 85792 is 4.

Also check out the Least Common Multiple of 85780 and 85792