What is the Greatest Common Factor of 84672 and 84680?

Greatest common factor (GCF) of 84672 and 84680 is 8.

GCF(84672,84680) = 8

We will now calculate the prime factors of 84672 and 84680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84672 and 84680.

How to find the GCF of 84672 and 84680?

We will first find the prime factorization of 84672 and 84680. After we will calculate the factors of 84672 and 84680 and find the biggest common factor number .

Step-1: Prime Factorization of 84672

Prime factors of 84672 are 2, 3, 7. Prime factorization of 84672 in exponential form is:

84672 = 2⁶ × 3³ × 7²

Step-2: Prime Factorization of 84680

Prime factors of 84680 are 2, 5, 29, 73. Prime factorization of 84680 in exponential form is:

84680 = 2³ × 5¹ × 29¹ × 73¹

Step-3: Factors of 84672

List of positive integer factors of 84672 that divides 84672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 32, 36, 42, 48, 49, 54, 56, 63, 64, 72, 84, 96, 98, 108, 112, 126, 144, 147, 168, 189, 192, 196, 216, 224, 252, 288, 294, 336, 378, 392, 432, 441, 448, 504, 576, 588, 672, 756, 784, 864, 882, 1008, 1176, 1323, 1344, 1512, 1568, 1728, 1764, 2016, 2352, 2646, 3024, 3136, 3528, 4032, 4704, 5292, 6048, 7056, 9408, 10584, 12096, 14112, 21168, 28224, 42336

Step-4: Factors of 84680

List of positive integer factors of 84680 that divides 84672 without a remainder.

1, 2, 4, 5, 8, 10, 20, 29, 40, 58, 73, 116, 145, 146, 232, 290, 292, 365, 580, 584, 730, 1160, 1460, 2117, 2920, 4234, 8468, 10585, 16936, 21170, 42340

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84672 and 84680. The biggest common factor number is the GCF number.
So the greatest common factor 84672 and 84680 is 8.

Also check out the Least Common Multiple of 84672 and 84680