What is the Greatest Common Factor of 62307 and 62314?

Greatest common factor (GCF) of 62307 and 62314 is 7.

GCF(62307,62314) = 7

We will now calculate the prime factors of 62307 and 62314, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62307 and 62314.

How to find the GCF of 62307 and 62314?

We will first find the prime factorization of 62307 and 62314. After we will calculate the factors of 62307 and 62314 and find the biggest common factor number .

Step-1: Prime Factorization of 62307

Prime factors of 62307 are 3, 7, 23, 43. Prime factorization of 62307 in exponential form is:

62307 = 3² × 7¹ × 23¹ × 43¹

Step-2: 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-3: Factors of 62307

List of positive integer factors of 62307 that divides 62307 without a remainder.

1, 3, 7, 9, 21, 23, 43, 63, 69, 129, 161, 207, 301, 387, 483, 903, 989, 1449, 2709, 2967, 6923, 8901, 20769

Step-4: Factors of 62314

List of positive integer factors of 62314 that divides 62307 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62307 and 62314. The biggest common factor number is the GCF number.
So the greatest common factor 62307 and 62314 is 7.

Also check out the Least Common Multiple of 62307 and 62314