What is the Greatest Common Factor of 23070 and 23074?

Greatest common factor (GCF) of 23070 and 23074 is 2.

GCF(23070,23074) = 2

We will now calculate the prime factors of 23070 and 23074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23070 and 23074.

How to find the GCF of 23070 and 23074?

We will first find the prime factorization of 23070 and 23074. After we will calculate the factors of 23070 and 23074 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 23074

Prime factors of 23074 are 2, 83, 139. Prime factorization of 23074 in exponential form is:

23074 = 2¹ × 83¹ × 139¹

Step-3: Factors of 23070

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

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

Step-4: Factors of 23074

List of positive integer factors of 23074 that divides 23070 without a remainder.

1, 2, 83, 139, 166, 278, 11537

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23070 and 23074. The biggest common factor number is the GCF number.
So the greatest common factor 23070 and 23074 is 2.

Also check out the Least Common Multiple of 23070 and 23074