What is the Greatest Common Factor of 52928 and 52945?

Greatest common factor (GCF) of 52928 and 52945 is 1.

GCF(52928,52945) = 1

We will now calculate the prime factors of 52928 and 52945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52928 and 52945.

How to find the GCF of 52928 and 52945?

We will first find the prime factorization of 52928 and 52945. After we will calculate the factors of 52928 and 52945 and find the biggest common factor number .

Step-1: Prime Factorization of 52928

Prime factors of 52928 are 2, 827. Prime factorization of 52928 in exponential form is:

52928 = 2⁶ × 827¹

Step-2: Prime Factorization of 52945

Prime factors of 52945 are 5, 10589. Prime factorization of 52945 in exponential form is:

52945 = 5¹ × 10589¹

Step-3: Factors of 52928

List of positive integer factors of 52928 that divides 52928 without a remainder.

1, 2, 4, 8, 16, 32, 64, 827, 1654, 3308, 6616, 13232, 26464

Step-4: Factors of 52945

List of positive integer factors of 52945 that divides 52928 without a remainder.

1, 5, 10589

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52928 and 52945. The biggest common factor number is the GCF number.
So the greatest common factor 52928 and 52945 is 1.

Also check out the Least Common Multiple of 52928 and 52945