What is the Greatest Common Factor of 75384 and 75402?

Greatest common factor (GCF) of 75384 and 75402 is 18.

GCF(75384,75402) = 18

We will now calculate the prime factors of 75384 and 75402, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75384 and 75402.

How to find the GCF of 75384 and 75402?

We will first find the prime factorization of 75384 and 75402. After we will calculate the factors of 75384 and 75402 and find the biggest common factor number .

Step-1: Prime Factorization of 75384

Prime factors of 75384 are 2, 3, 349. Prime factorization of 75384 in exponential form is:

75384 = 2³ × 3³ × 349¹

Step-2: Prime Factorization of 75402

Prime factors of 75402 are 2, 3, 59, 71. Prime factorization of 75402 in exponential form is:

75402 = 2¹ × 3² × 59¹ × 71¹

Step-3: Factors of 75384

List of positive integer factors of 75384 that divides 75384 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 349, 698, 1047, 1396, 2094, 2792, 3141, 4188, 6282, 8376, 9423, 12564, 18846, 25128, 37692

Step-4: Factors of 75402

List of positive integer factors of 75402 that divides 75384 without a remainder.

1, 2, 3, 6, 9, 18, 59, 71, 118, 142, 177, 213, 354, 426, 531, 639, 1062, 1278, 4189, 8378, 12567, 25134, 37701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75384 and 75402. The biggest common factor number is the GCF number.
So the greatest common factor 75384 and 75402 is 18.

Also check out the Least Common Multiple of 75384 and 75402