What is the Greatest Common Factor of 52090 and 52094?

Greatest common factor (GCF) of 52090 and 52094 is 2.

GCF(52090,52094) = 2

We will now calculate the prime factors of 52090 and 52094, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52090 and 52094.

How to find the GCF of 52090 and 52094?

We will first find the prime factorization of 52090 and 52094. After we will calculate the factors of 52090 and 52094 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 52094

Prime factors of 52094 are 2, 7, 61. Prime factorization of 52094 in exponential form is:

52094 = 2¹ × 7¹ × 61²

Step-3: Factors of 52090

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

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

Step-4: Factors of 52094

List of positive integer factors of 52094 that divides 52090 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854, 3721, 7442, 26047

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52090 and 52094. The biggest common factor number is the GCF number.
So the greatest common factor 52090 and 52094 is 2.

Also check out the Least Common Multiple of 52090 and 52094