What is the Greatest Common Factor of 52825 and 52844?

Greatest common factor (GCF) of 52825 and 52844 is 1.

GCF(52825,52844) = 1

We will now calculate the prime factors of 52825 and 52844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52825 and 52844.

How to find the GCF of 52825 and 52844?

We will first find the prime factorization of 52825 and 52844. After we will calculate the factors of 52825 and 52844 and find the biggest common factor number .

Step-1: Prime Factorization of 52825

Prime factors of 52825 are 5, 2113. Prime factorization of 52825 in exponential form is:

52825 = 5² × 2113¹

Step-2: Prime Factorization of 52844

Prime factors of 52844 are 2, 11, 1201. Prime factorization of 52844 in exponential form is:

52844 = 2² × 11¹ × 1201¹

Step-3: Factors of 52825

List of positive integer factors of 52825 that divides 52825 without a remainder.

1, 5, 25, 2113, 10565

Step-4: Factors of 52844

List of positive integer factors of 52844 that divides 52825 without a remainder.

1, 2, 4, 11, 22, 44, 1201, 2402, 4804, 13211, 26422

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52825 and 52844. The biggest common factor number is the GCF number.
So the greatest common factor 52825 and 52844 is 1.

Also check out the Least Common Multiple of 52825 and 52844