What is the Greatest Common Factor of 57494 and 57504?

Greatest common factor (GCF) of 57494 and 57504 is 2.

GCF(57494,57504) = 2

We will now calculate the prime factors of 57494 and 57504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57494 and 57504.

How to find the GCF of 57494 and 57504?

We will first find the prime factorization of 57494 and 57504. After we will calculate the factors of 57494 and 57504 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 57504

Prime factors of 57504 are 2, 3, 599. Prime factorization of 57504 in exponential form is:

57504 = 2⁵ × 3¹ × 599¹

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 57504

List of positive integer factors of 57504 that divides 57494 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 599, 1198, 1797, 2396, 3594, 4792, 7188, 9584, 14376, 19168, 28752

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57494 and 57504. The biggest common factor number is the GCF number.
So the greatest common factor 57494 and 57504 is 2.

Also check out the Least Common Multiple of 57494 and 57504