What is the Greatest Common Factor of 23050 and 23070?

Greatest common factor (GCF) of 23050 and 23070 is 10.

GCF(23050,23070) = 10

We will now calculate the prime factors of 23050 and 23070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23050 and 23070.

How to find the GCF of 23050 and 23070?

We will first find the prime factorization of 23050 and 23070. After we will calculate the factors of 23050 and 23070 and find the biggest common factor number .

Step-1: Prime Factorization of 23050

Prime factors of 23050 are 2, 5, 461. Prime factorization of 23050 in exponential form is:

23050 = 2¹ × 5² × 461¹

Step-2: Prime Factorization of 23070

Prime factors of 23070 are 2, 3, 5, 769. Prime factorization of 23070 in exponential form is:

23070 = 2¹ × 3¹ × 5¹ × 769¹

Step-3: Factors of 23050

List of positive integer factors of 23050 that divides 23050 without a remainder.

1, 2, 5, 10, 25, 50, 461, 922, 2305, 4610, 11525

Step-4: Factors of 23070

List of positive integer factors of 23070 that divides 23050 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 769, 1538, 2307, 3845, 4614, 7690, 11535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23050 and 23070. The biggest common factor number is the GCF number.
So the greatest common factor 23050 and 23070 is 10.

Also check out the Least Common Multiple of 23050 and 23070