What is the Greatest Common Factor of 67680 and 67699?

Greatest common factor (GCF) of 67680 and 67699 is 1.

GCF(67680,67699) = 1

We will now calculate the prime factors of 67680 and 67699, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67680 and 67699.

How to find the GCF of 67680 and 67699?

We will first find the prime factorization of 67680 and 67699. After we will calculate the factors of 67680 and 67699 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 67699

Prime factors of 67699 are 67699. Prime factorization of 67699 in exponential form is:

67699 = 67699¹

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 67699

List of positive integer factors of 67699 that divides 67680 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67680 and 67699. The biggest common factor number is the GCF number.
So the greatest common factor 67680 and 67699 is 1.

Also check out the Least Common Multiple of 67680 and 67699