What is the Greatest Common Factor of 62354 and 62361?

Greatest common factor (GCF) of 62354 and 62361 is 1.

GCF(62354,62361) = 1

We will now calculate the prime factors of 62354 and 62361, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62354 and 62361.

How to find the GCF of 62354 and 62361?

We will first find the prime factorization of 62354 and 62361. After we will calculate the factors of 62354 and 62361 and find the biggest common factor number .

Step-1: Prime Factorization of 62354

Prime factors of 62354 are 2, 31177. Prime factorization of 62354 in exponential form is:

62354 = 2¹ × 31177¹

Step-2: Prime Factorization of 62361

Prime factors of 62361 are 3, 13, 41. Prime factorization of 62361 in exponential form is:

62361 = 3² × 13² × 41¹

Step-3: Factors of 62354

List of positive integer factors of 62354 that divides 62354 without a remainder.

1, 2, 31177

Step-4: Factors of 62361

List of positive integer factors of 62361 that divides 62354 without a remainder.

1, 3, 9, 13, 39, 41, 117, 123, 169, 369, 507, 533, 1521, 1599, 4797, 6929, 20787

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62354 and 62361. The biggest common factor number is the GCF number.
So the greatest common factor 62354 and 62361 is 1.

Also check out the Least Common Multiple of 62354 and 62361