What is the Greatest Common Factor of 67680 and 67694?

Greatest common factor (GCF) of 67680 and 67694 is 2.

GCF(67680,67694) = 2

We will now calculate the prime factors of 67680 and 67694, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67680 and 67694.

How to find the GCF of 67680 and 67694?

We will first find the prime factorization of 67680 and 67694. After we will calculate the factors of 67680 and 67694 and find the biggest common factor number .

Step-1: Prime Factorization of 67680

Prime factors of 67680 are 2, 3, 5, 47. Prime factorization of 67680 in exponential form is:

67680 = 2⁵ × 3² × 5¹ × 47¹

Step-2: Prime Factorization of 67694

Prime factors of 67694 are 2, 11, 17, 181. Prime factorization of 67694 in exponential form is:

67694 = 2¹ × 11¹ × 17¹ × 181¹

Step-3: Factors of 67680

List of positive integer factors of 67680 that divides 67680 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 47, 48, 60, 72, 80, 90, 94, 96, 120, 141, 144, 160, 180, 188, 235, 240, 282, 288, 360, 376, 423, 470, 480, 564, 705, 720, 752, 846, 940, 1128, 1410, 1440, 1504, 1692, 1880, 2115, 2256, 2820, 3384, 3760, 4230, 4512, 5640, 6768, 7520, 8460, 11280, 13536, 16920, 22560, 33840

Step-4: Factors of 67694

List of positive integer factors of 67694 that divides 67680 without a remainder.

1, 2, 11, 17, 22, 34, 181, 187, 362, 374, 1991, 3077, 3982, 6154, 33847

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67680 and 67694. The biggest common factor number is the GCF number.
So the greatest common factor 67680 and 67694 is 2.

Also check out the Least Common Multiple of 67680 and 67694