What is the Greatest Common Factor of 50071 and 50085?

Greatest common factor (GCF) of 50071 and 50085 is 7.

GCF(50071,50085) = 7

We will now calculate the prime factors of 50071 and 50085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50071 and 50085.

How to find the GCF of 50071 and 50085?

We will first find the prime factorization of 50071 and 50085. After we will calculate the factors of 50071 and 50085 and find the biggest common factor number .

Step-1: Prime Factorization of 50071

Prime factors of 50071 are 7, 23, 311. Prime factorization of 50071 in exponential form is:

50071 = 7¹ × 23¹ × 311¹

Step-2: Prime Factorization of 50085

Prime factors of 50085 are 3, 5, 7, 53. Prime factorization of 50085 in exponential form is:

50085 = 3³ × 5¹ × 7¹ × 53¹

Step-3: Factors of 50071

List of positive integer factors of 50071 that divides 50071 without a remainder.

1, 7, 23, 161, 311, 2177, 7153

Step-4: Factors of 50085

List of positive integer factors of 50085 that divides 50071 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 53, 63, 105, 135, 159, 189, 265, 315, 371, 477, 795, 945, 1113, 1431, 1855, 2385, 3339, 5565, 7155, 10017, 16695

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50071 and 50085. The biggest common factor number is the GCF number.
So the greatest common factor 50071 and 50085 is 7.

Also check out the Least Common Multiple of 50071 and 50085