What is the Greatest Common Factor of 62361 and 62374?

Greatest common factor (GCF) of 62361 and 62374 is 13.

GCF(62361,62374) = 13

We will now calculate the prime factors of 62361 and 62374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62361 and 62374.

How to find the GCF of 62361 and 62374?

We will first find the prime factorization of 62361 and 62374. After we will calculate the factors of 62361 and 62374 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 62374

Prime factors of 62374 are 2, 13, 2399. Prime factorization of 62374 in exponential form is:

62374 = 2¹ × 13¹ × 2399¹

Step-3: Factors of 62361

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

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

Step-4: Factors of 62374

List of positive integer factors of 62374 that divides 62361 without a remainder.

1, 2, 13, 26, 2399, 4798, 31187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62361 and 62374. The biggest common factor number is the GCF number.
So the greatest common factor 62361 and 62374 is 13.

Also check out the Least Common Multiple of 62361 and 62374