What is the Greatest Common Factor of 57494 and 57502?

Greatest common factor (GCF) of 57494 and 57502 is 2.

GCF(57494,57502) = 2

We will now calculate the prime factors of 57494 and 57502, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57494 and 57502.

How to find the GCF of 57494 and 57502?

We will first find the prime factorization of 57494 and 57502. After we will calculate the factors of 57494 and 57502 and find the biggest common factor number .

Step-1: Prime Factorization of 57494

Prime factors of 57494 are 2, 17, 19, 89. Prime factorization of 57494 in exponential form is:

57494 = 2¹ × 17¹ × 19¹ × 89¹

Step-2: Prime Factorization of 57502

Prime factors of 57502 are 2, 28751. Prime factorization of 57502 in exponential form is:

57502 = 2¹ × 28751¹

Step-3: Factors of 57494

List of positive integer factors of 57494 that divides 57494 without a remainder.

1, 2, 17, 19, 34, 38, 89, 178, 323, 646, 1513, 1691, 3026, 3382, 28747

Step-4: Factors of 57502

List of positive integer factors of 57502 that divides 57494 without a remainder.

1, 2, 28751

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57494 and 57502. The biggest common factor number is the GCF number.
So the greatest common factor 57494 and 57502 is 2.

Also check out the Least Common Multiple of 57494 and 57502