What is the Greatest Common Factor of 52350 and 52354?

Greatest common factor (GCF) of 52350 and 52354 is 2.

GCF(52350,52354) = 2

We will now calculate the prime factors of 52350 and 52354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52350 and 52354.

How to find the GCF of 52350 and 52354?

We will first find the prime factorization of 52350 and 52354. After we will calculate the factors of 52350 and 52354 and find the biggest common factor number .

Step-1: Prime Factorization of 52350

Prime factors of 52350 are 2, 3, 5, 349. Prime factorization of 52350 in exponential form is:

52350 = 2¹ × 3¹ × 5² × 349¹

Step-2: Prime Factorization of 52354

Prime factors of 52354 are 2, 26177. Prime factorization of 52354 in exponential form is:

52354 = 2¹ × 26177¹

Step-3: Factors of 52350

List of positive integer factors of 52350 that divides 52350 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 349, 698, 1047, 1745, 2094, 3490, 5235, 8725, 10470, 17450, 26175

Step-4: Factors of 52354

List of positive integer factors of 52354 that divides 52350 without a remainder.

1, 2, 26177

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52350 and 52354. The biggest common factor number is the GCF number.
So the greatest common factor 52350 and 52354 is 2.

Also check out the Least Common Multiple of 52350 and 52354