What is the Greatest Common Factor of 62355 and 62364?

Greatest common factor (GCF) of 62355 and 62364 is 3.

GCF(62355,62364) = 3

We will now calculate the prime factors of 62355 and 62364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62355 and 62364.

How to find the GCF of 62355 and 62364?

We will first find the prime factorization of 62355 and 62364. After we will calculate the factors of 62355 and 62364 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 62364

Prime factors of 62364 are 2, 3, 5197. Prime factorization of 62364 in exponential form is:

62364 = 2² × 3¹ × 5197¹

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 62364

List of positive integer factors of 62364 that divides 62355 without a remainder.

1, 2, 3, 4, 6, 12, 5197, 10394, 15591, 20788, 31182

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62355 and 62364. The biggest common factor number is the GCF number.
So the greatest common factor 62355 and 62364 is 3.

Also check out the Least Common Multiple of 62355 and 62364