What is the Greatest Common Factor of 45402 and 45417?

Greatest common factor (GCF) of 45402 and 45417 is 3.

GCF(45402,45417) = 3

We will now calculate the prime factors of 45402 and 45417, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45402 and 45417.

How to find the GCF of 45402 and 45417?

We will first find the prime factorization of 45402 and 45417. After we will calculate the factors of 45402 and 45417 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 45417

Prime factors of 45417 are 3, 15139. Prime factorization of 45417 in exponential form is:

45417 = 3¹ × 15139¹

Step-3: Factors of 45402

List of positive integer factors of 45402 that divides 45402 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

Step-4: Factors of 45417

List of positive integer factors of 45417 that divides 45402 without a remainder.

1, 3, 15139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45402 and 45417. The biggest common factor number is the GCF number.
So the greatest common factor 45402 and 45417 is 3.

Also check out the Least Common Multiple of 45402 and 45417