What is the Greatest Common Factor of 59384 and 59402?

Greatest common factor (GCF) of 59384 and 59402 is 2.

GCF(59384,59402) = 2

We will now calculate the prime factors of 59384 and 59402, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59384 and 59402.

How to find the GCF of 59384 and 59402?

We will first find the prime factorization of 59384 and 59402. After we will calculate the factors of 59384 and 59402 and find the biggest common factor number .

Step-1: Prime Factorization of 59384

Prime factors of 59384 are 2, 13, 571. Prime factorization of 59384 in exponential form is:

59384 = 2³ × 13¹ × 571¹

Step-2: Prime Factorization of 59402

Prime factors of 59402 are 2, 7, 4243. Prime factorization of 59402 in exponential form is:

59402 = 2¹ × 7¹ × 4243¹

Step-3: Factors of 59384

List of positive integer factors of 59384 that divides 59384 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 571, 1142, 2284, 4568, 7423, 14846, 29692

Step-4: Factors of 59402

List of positive integer factors of 59402 that divides 59384 without a remainder.

1, 2, 7, 14, 4243, 8486, 29701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59384 and 59402. The biggest common factor number is the GCF number.
So the greatest common factor 59384 and 59402 is 2.

Also check out the Least Common Multiple of 59384 and 59402