What is the Greatest Common Factor of 23660 and 23674?

Greatest common factor (GCF) of 23660 and 23674 is 14.

GCF(23660,23674) = 14

We will now calculate the prime factors of 23660 and 23674, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23660 and 23674.

How to find the GCF of 23660 and 23674?

We will first find the prime factorization of 23660 and 23674. After we will calculate the factors of 23660 and 23674 and find the biggest common factor number .

Step-1: Prime Factorization of 23660

Prime factors of 23660 are 2, 5, 7, 13. Prime factorization of 23660 in exponential form is:

23660 = 2² × 5¹ × 7¹ × 13²

Step-2: Prime Factorization of 23674

Prime factors of 23674 are 2, 7, 19, 89. Prime factorization of 23674 in exponential form is:

23674 = 2¹ × 7¹ × 19¹ × 89¹

Step-3: Factors of 23660

List of positive integer factors of 23660 that divides 23660 without a remainder.

1, 2, 4, 5, 7, 10, 13, 14, 20, 26, 28, 35, 52, 65, 70, 91, 130, 140, 169, 182, 260, 338, 364, 455, 676, 845, 910, 1183, 1690, 1820, 2366, 3380, 4732, 5915, 11830

Step-4: Factors of 23674

List of positive integer factors of 23674 that divides 23660 without a remainder.

1, 2, 7, 14, 19, 38, 89, 133, 178, 266, 623, 1246, 1691, 3382, 11837

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23660 and 23674. The biggest common factor number is the GCF number.
So the greatest common factor 23660 and 23674 is 14.

Also check out the Least Common Multiple of 23660 and 23674