What is the Greatest Common Factor of 67662 and 67680?

Greatest common factor (GCF) of 67662 and 67680 is 18.

GCF(67662,67680) = 18

We will now calculate the prime factors of 67662 and 67680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67662 and 67680.

How to find the GCF of 67662 and 67680?

We will first find the prime factorization of 67662 and 67680. After we will calculate the factors of 67662 and 67680 and find the biggest common factor number .

Step-1: Prime Factorization of 67662

Prime factors of 67662 are 2, 3, 7, 179. Prime factorization of 67662 in exponential form is:

67662 = 2¹ × 3³ × 7¹ × 179¹

Step-2: 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-3: Factors of 67662

List of positive integer factors of 67662 that divides 67662 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 179, 189, 358, 378, 537, 1074, 1253, 1611, 2506, 3222, 3759, 4833, 7518, 9666, 11277, 22554, 33831

Step-4: Factors of 67680

List of positive integer factors of 67680 that divides 67662 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67662 and 67680. The biggest common factor number is the GCF number.
So the greatest common factor 67662 and 67680 is 18.

Also check out the Least Common Multiple of 67662 and 67680