What is the Greatest Common Factor of 62314 and 62327?

Greatest common factor (GCF) of 62314 and 62327 is 1.

GCF(62314,62327) = 1

We will now calculate the prime factors of 62314 and 62327, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62314 and 62327.

How to find the GCF of 62314 and 62327?

We will first find the prime factorization of 62314 and 62327. After we will calculate the factors of 62314 and 62327 and find the biggest common factor number .

Step-1: Prime Factorization of 62314

Prime factors of 62314 are 2, 7, 4451. Prime factorization of 62314 in exponential form is:

62314 = 2¹ × 7¹ × 4451¹

Step-2: Prime Factorization of 62327

Prime factors of 62327 are 62327. Prime factorization of 62327 in exponential form is:

62327 = 62327¹

Step-3: Factors of 62314

List of positive integer factors of 62314 that divides 62314 without a remainder.

1, 2, 7, 14, 4451, 8902, 31157

Step-4: Factors of 62327

List of positive integer factors of 62327 that divides 62314 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62314 and 62327. The biggest common factor number is the GCF number.
So the greatest common factor 62314 and 62327 is 1.

Also check out the Least Common Multiple of 62314 and 62327