What is the Greatest Common Factor of 52402 and 52421?

Greatest common factor (GCF) of 52402 and 52421 is 19.

GCF(52402,52421) = 19

We will now calculate the prime factors of 52402 and 52421, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52402 and 52421.

How to find the GCF of 52402 and 52421?

We will first find the prime factorization of 52402 and 52421. After we will calculate the factors of 52402 and 52421 and find the biggest common factor number .

Step-1: Prime Factorization of 52402

Prime factors of 52402 are 2, 7, 19, 197. Prime factorization of 52402 in exponential form is:

52402 = 2¹ × 7¹ × 19¹ × 197¹

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 52402

List of positive integer factors of 52402 that divides 52402 without a remainder.

1, 2, 7, 14, 19, 38, 133, 197, 266, 394, 1379, 2758, 3743, 7486, 26201

Step-4: Factors of 52421

List of positive integer factors of 52421 that divides 52402 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52402 and 52421. The biggest common factor number is the GCF number.
So the greatest common factor 52402 and 52421 is 19.

Also check out the Least Common Multiple of 52402 and 52421