What is the Greatest Common Factor of 62355 and 62367?

Greatest common factor (GCF) of 62355 and 62367 is 3.

GCF(62355,62367) = 3

We will now calculate the prime factors of 62355 and 62367, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62355 and 62367.

How to find the GCF of 62355 and 62367?

We will first find the prime factorization of 62355 and 62367. After we will calculate the factors of 62355 and 62367 and find the biggest common factor number .

Step-1: Prime Factorization of 62355

Prime factors of 62355 are 3, 5, 4157. Prime factorization of 62355 in exponential form is:

62355 = 3¹ × 5¹ × 4157¹

Step-2: Prime Factorization of 62367

Prime factors of 62367 are 3, 20789. Prime factorization of 62367 in exponential form is:

62367 = 3¹ × 20789¹

Step-3: Factors of 62355

List of positive integer factors of 62355 that divides 62355 without a remainder.

1, 3, 5, 15, 4157, 12471, 20785

Step-4: Factors of 62367

List of positive integer factors of 62367 that divides 62355 without a remainder.

1, 3, 20789

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62355 and 62367. The biggest common factor number is the GCF number.
So the greatest common factor 62355 and 62367 is 3.

Also check out the Least Common Multiple of 62355 and 62367