What is the Greatest Common Factor of 52072 and 52090?

Greatest common factor (GCF) of 52072 and 52090 is 2.

GCF(52072,52090) = 2

We will now calculate the prime factors of 52072 and 52090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52072 and 52090.

How to find the GCF of 52072 and 52090?

We will first find the prime factorization of 52072 and 52090. After we will calculate the factors of 52072 and 52090 and find the biggest common factor number .

Step-1: Prime Factorization of 52072

Prime factors of 52072 are 2, 23, 283. Prime factorization of 52072 in exponential form is:

52072 = 2³ × 23¹ × 283¹

Step-2: Prime Factorization of 52090

Prime factors of 52090 are 2, 5, 5209. Prime factorization of 52090 in exponential form is:

52090 = 2¹ × 5¹ × 5209¹

Step-3: Factors of 52072

List of positive integer factors of 52072 that divides 52072 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184, 283, 566, 1132, 2264, 6509, 13018, 26036

Step-4: Factors of 52090

List of positive integer factors of 52090 that divides 52072 without a remainder.

1, 2, 5, 10, 5209, 10418, 26045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52072 and 52090. The biggest common factor number is the GCF number.
So the greatest common factor 52072 and 52090 is 2.

Also check out the Least Common Multiple of 52072 and 52090