What is the Greatest Common Factor of 50065 and 50070?

Greatest common factor (GCF) of 50065 and 50070 is 5.

GCF(50065,50070) = 5

We will now calculate the prime factors of 50065 and 50070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50065 and 50070.

How to find the GCF of 50065 and 50070?

We will first find the prime factorization of 50065 and 50070. After we will calculate the factors of 50065 and 50070 and find the biggest common factor number .

Step-1: Prime Factorization of 50065

Prime factors of 50065 are 5, 17, 19, 31. Prime factorization of 50065 in exponential form is:

50065 = 5¹ × 17¹ × 19¹ × 31¹

Step-2: Prime Factorization of 50070

Prime factors of 50070 are 2, 3, 5, 1669. Prime factorization of 50070 in exponential form is:

50070 = 2¹ × 3¹ × 5¹ × 1669¹

Step-3: Factors of 50065

List of positive integer factors of 50065 that divides 50065 without a remainder.

1, 5, 17, 19, 31, 85, 95, 155, 323, 527, 589, 1615, 2635, 2945, 10013

Step-4: Factors of 50070

List of positive integer factors of 50070 that divides 50065 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1669, 3338, 5007, 8345, 10014, 16690, 25035

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50065 and 50070. The biggest common factor number is the GCF number.
So the greatest common factor 50065 and 50070 is 5.

Also check out the Least Common Multiple of 50065 and 50070