What is the Greatest Common Factor of 52414 and 52421?

Greatest common factor (GCF) of 52414 and 52421 is 1.

GCF(52414,52421) = 1

We will now calculate the prime factors of 52414 and 52421, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52414 and 52421.

How to find the GCF of 52414 and 52421?

We will first find the prime factorization of 52414 and 52421. After we will calculate the factors of 52414 and 52421 and find the biggest common factor number .

Step-1: Prime Factorization of 52414

Prime factors of 52414 are 2, 73, 359. Prime factorization of 52414 in exponential form is:

52414 = 2¹ × 73¹ × 359¹

Step-2: Prime Factorization of 52421

Prime factors of 52421 are 19, 31, 89. Prime factorization of 52421 in exponential form is:

52421 = 19¹ × 31¹ × 89¹

Step-3: Factors of 52414

List of positive integer factors of 52414 that divides 52414 without a remainder.

1, 2, 73, 146, 359, 718, 26207

Step-4: Factors of 52421

List of positive integer factors of 52421 that divides 52414 without a remainder.

1, 19, 31, 89, 589, 1691, 2759

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52414 and 52421. The biggest common factor number is the GCF number.
So the greatest common factor 52414 and 52421 is 1.

Also check out the Least Common Multiple of 52414 and 52421