What is the Greatest Common Factor of 23674 and 23680?

Greatest common factor (GCF) of 23674 and 23680 is 2.

GCF(23674,23680) = 2

We will now calculate the prime factors of 23674 and 23680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23674 and 23680.

How to find the GCF of 23674 and 23680?

We will first find the prime factorization of 23674 and 23680. After we will calculate the factors of 23674 and 23680 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 23680

Prime factors of 23680 are 2, 5, 37. Prime factorization of 23680 in exponential form is:

23680 = 2⁷ × 5¹ × 37¹

Step-3: Factors of 23674

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

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

Step-4: Factors of 23680

List of positive integer factors of 23680 that divides 23674 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 37, 40, 64, 74, 80, 128, 148, 160, 185, 296, 320, 370, 592, 640, 740, 1184, 1480, 2368, 2960, 4736, 5920, 11840

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23674 and 23680. The biggest common factor number is the GCF number.
So the greatest common factor 23674 and 23680 is 2.

Also check out the Least Common Multiple of 23674 and 23680