What is the Greatest Common Factor of 57038 and 57050?

Greatest common factor (GCF) of 57038 and 57050 is 2.

GCF(57038,57050) = 2

We will now calculate the prime factors of 57038 and 57050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57038 and 57050.

How to find the GCF of 57038 and 57050?

We will first find the prime factorization of 57038 and 57050. After we will calculate the factors of 57038 and 57050 and find the biggest common factor number .

Step-1: Prime Factorization of 57038

Prime factors of 57038 are 2, 19, 79. Prime factorization of 57038 in exponential form is:

57038 = 2¹ × 19² × 79¹

Step-2: Prime Factorization of 57050

Prime factors of 57050 are 2, 5, 7, 163. Prime factorization of 57050 in exponential form is:

57050 = 2¹ × 5² × 7¹ × 163¹

Step-3: Factors of 57038

List of positive integer factors of 57038 that divides 57038 without a remainder.

1, 2, 19, 38, 79, 158, 361, 722, 1501, 3002, 28519

Step-4: Factors of 57050

List of positive integer factors of 57050 that divides 57038 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 163, 175, 326, 350, 815, 1141, 1630, 2282, 4075, 5705, 8150, 11410, 28525

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57038 and 57050. The biggest common factor number is the GCF number.
So the greatest common factor 57038 and 57050 is 2.

Also check out the Least Common Multiple of 57038 and 57050