What is the Greatest Common Factor of 45388 and 45402?

Greatest common factor (GCF) of 45388 and 45402 is 14.

GCF(45388,45402) = 14

We will now calculate the prime factors of 45388 and 45402, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45388 and 45402.

How to find the GCF of 45388 and 45402?

We will first find the prime factorization of 45388 and 45402. After we will calculate the factors of 45388 and 45402 and find the biggest common factor number .

Step-1: Prime Factorization of 45388

Prime factors of 45388 are 2, 7, 1621. Prime factorization of 45388 in exponential form is:

45388 = 2² × 7¹ × 1621¹

Step-2: Prime Factorization of 45402

Prime factors of 45402 are 2, 3, 7, 23, 47. Prime factorization of 45402 in exponential form is:

45402 = 2¹ × 3¹ × 7¹ × 23¹ × 47¹

Step-3: Factors of 45388

List of positive integer factors of 45388 that divides 45388 without a remainder.

1, 2, 4, 7, 14, 28, 1621, 3242, 6484, 11347, 22694

Step-4: Factors of 45402

List of positive integer factors of 45402 that divides 45388 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 47, 69, 94, 138, 141, 161, 282, 322, 329, 483, 658, 966, 987, 1081, 1974, 2162, 3243, 6486, 7567, 15134, 22701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45388 and 45402. The biggest common factor number is the GCF number.
So the greatest common factor 45388 and 45402 is 14.

Also check out the Least Common Multiple of 45388 and 45402