What is the Greatest Common Factor of 62345 and 62355?

Greatest common factor (GCF) of 62345 and 62355 is 5.

GCF(62345,62355) = 5

We will now calculate the prime factors of 62345 and 62355, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62345 and 62355.

How to find the GCF of 62345 and 62355?

We will first find the prime factorization of 62345 and 62355. After we will calculate the factors of 62345 and 62355 and find the biggest common factor number .

Step-1: Prime Factorization of 62345

Prime factors of 62345 are 5, 37, 337. Prime factorization of 62345 in exponential form is:

62345 = 5¹ × 37¹ × 337¹

Step-2: 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-3: Factors of 62345

List of positive integer factors of 62345 that divides 62345 without a remainder.

1, 5, 37, 185, 337, 1685, 12469

Step-4: Factors of 62355

List of positive integer factors of 62355 that divides 62345 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62345 and 62355. The biggest common factor number is the GCF number.
So the greatest common factor 62345 and 62355 is 5.

Also check out the Least Common Multiple of 62345 and 62355