What is the Greatest Common Factor of 59394 and 59408?

Greatest common factor (GCF) of 59394 and 59408 is 2.

GCF(59394,59408) = 2

We will now calculate the prime factors of 59394 and 59408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59394 and 59408.

How to find the GCF of 59394 and 59408?

We will first find the prime factorization of 59394 and 59408. After we will calculate the factors of 59394 and 59408 and find the biggest common factor number .

Step-1: Prime Factorization of 59394

Prime factors of 59394 are 2, 3, 19, 521. Prime factorization of 59394 in exponential form is:

59394 = 2¹ × 3¹ × 19¹ × 521¹

Step-2: Prime Factorization of 59408

Prime factors of 59408 are 2, 47, 79. Prime factorization of 59408 in exponential form is:

59408 = 2⁴ × 47¹ × 79¹

Step-3: Factors of 59394

List of positive integer factors of 59394 that divides 59394 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 521, 1042, 1563, 3126, 9899, 19798, 29697

Step-4: Factors of 59408

List of positive integer factors of 59408 that divides 59394 without a remainder.

1, 2, 4, 8, 16, 47, 79, 94, 158, 188, 316, 376, 632, 752, 1264, 3713, 7426, 14852, 29704

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59394 and 59408. The biggest common factor number is the GCF number.
So the greatest common factor 59394 and 59408 is 2.

Also check out the Least Common Multiple of 59394 and 59408