What is the Greatest Common Factor of 62335 and 62345?

Greatest common factor (GCF) of 62335 and 62345 is 5.

GCF(62335,62345) = 5

We will now calculate the prime factors of 62335 and 62345, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62335 and 62345.

How to find the GCF of 62335 and 62345?

We will first find the prime factorization of 62335 and 62345. After we will calculate the factors of 62335 and 62345 and find the biggest common factor number .

Step-1: Prime Factorization of 62335

Prime factors of 62335 are 5, 7, 13, 137. Prime factorization of 62335 in exponential form is:

62335 = 5¹ × 7¹ × 13¹ × 137¹

Step-2: 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-3: Factors of 62335

List of positive integer factors of 62335 that divides 62335 without a remainder.

1, 5, 7, 13, 35, 65, 91, 137, 455, 685, 959, 1781, 4795, 8905, 12467

Step-4: Factors of 62345

List of positive integer factors of 62345 that divides 62335 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62335 and 62345. The biggest common factor number is the GCF number.
So the greatest common factor 62335 and 62345 is 5.

Also check out the Least Common Multiple of 62335 and 62345