What is the Greatest Common Factor of 42805 and 42812?

Greatest common factor (GCF) of 42805 and 42812 is 7.

GCF(42805,42812) = 7

We will now calculate the prime factors of 42805 and 42812, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42805 and 42812.

How to find the GCF of 42805 and 42812?

We will first find the prime factorization of 42805 and 42812. After we will calculate the factors of 42805 and 42812 and find the biggest common factor number .

Step-1: Prime Factorization of 42805

Prime factors of 42805 are 5, 7, 1223. Prime factorization of 42805 in exponential form is:

42805 = 5¹ × 7¹ × 1223¹

Step-2: Prime Factorization of 42812

Prime factors of 42812 are 2, 7, 11, 139. Prime factorization of 42812 in exponential form is:

42812 = 2² × 7¹ × 11¹ × 139¹

Step-3: Factors of 42805

List of positive integer factors of 42805 that divides 42805 without a remainder.

1, 5, 7, 35, 1223, 6115, 8561

Step-4: Factors of 42812

List of positive integer factors of 42812 that divides 42805 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 139, 154, 278, 308, 556, 973, 1529, 1946, 3058, 3892, 6116, 10703, 21406

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42805 and 42812. The biggest common factor number is the GCF number.
So the greatest common factor 42805 and 42812 is 7.

Also check out the Least Common Multiple of 42805 and 42812