What is the Greatest Common Factor of 50705 and 50715?

Greatest common factor (GCF) of 50705 and 50715 is 5.

GCF(50705,50715) = 5

We will now calculate the prime factors of 50705 and 50715, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50705 and 50715.

How to find the GCF of 50705 and 50715?

We will first find the prime factorization of 50705 and 50715. After we will calculate the factors of 50705 and 50715 and find the biggest common factor number .

Step-1: Prime Factorization of 50705

Prime factors of 50705 are 5, 10141. Prime factorization of 50705 in exponential form is:

50705 = 5¹ × 10141¹

Step-2: Prime Factorization of 50715

Prime factors of 50715 are 3, 5, 7, 23. Prime factorization of 50715 in exponential form is:

50715 = 3² × 5¹ × 7² × 23¹

Step-3: Factors of 50705

List of positive integer factors of 50705 that divides 50705 without a remainder.

1, 5, 10141

Step-4: Factors of 50715

List of positive integer factors of 50715 that divides 50705 without a remainder.

1, 3, 5, 7, 9, 15, 21, 23, 35, 45, 49, 63, 69, 105, 115, 147, 161, 207, 245, 315, 345, 441, 483, 735, 805, 1035, 1127, 1449, 2205, 2415, 3381, 5635, 7245, 10143, 16905

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50705 and 50715. The biggest common factor number is the GCF number.
So the greatest common factor 50705 and 50715 is 5.

Also check out the Least Common Multiple of 50705 and 50715