What is the Greatest Common Factor of 45414 and 45421?

Greatest common factor (GCF) of 45414 and 45421 is 1.

GCF(45414,45421) = 1

We will now calculate the prime factors of 45414 and 45421, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45414 and 45421.

How to find the GCF of 45414 and 45421?

We will first find the prime factorization of 45414 and 45421. After we will calculate the factors of 45414 and 45421 and find the biggest common factor number .

Step-1: Prime Factorization of 45414

Prime factors of 45414 are 2, 3, 29. Prime factorization of 45414 in exponential form is:

45414 = 2¹ × 3³ × 29²

Step-2: Prime Factorization of 45421

Prime factors of 45421 are 53, 857. Prime factorization of 45421 in exponential form is:

45421 = 53¹ × 857¹

Step-3: Factors of 45414

List of positive integer factors of 45414 that divides 45414 without a remainder.

1, 2, 3, 6, 9, 18, 27, 29, 54, 58, 87, 174, 261, 522, 783, 841, 1566, 1682, 2523, 5046, 7569, 15138, 22707

Step-4: Factors of 45421

List of positive integer factors of 45421 that divides 45414 without a remainder.

1, 53, 857

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45414 and 45421. The biggest common factor number is the GCF number.
So the greatest common factor 45414 and 45421 is 1.

Also check out the Least Common Multiple of 45414 and 45421