What is the Greatest Common Factor of 84658 and 84672?

Greatest common factor (GCF) of 84658 and 84672 is 14.

GCF(84658,84672) = 14

We will now calculate the prime factors of 84658 and 84672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84658 and 84672.

How to find the GCF of 84658 and 84672?

We will first find the prime factorization of 84658 and 84672. After we will calculate the factors of 84658 and 84672 and find the biggest common factor number .

Step-1: Prime Factorization of 84658

Prime factors of 84658 are 2, 7, 6047. Prime factorization of 84658 in exponential form is:

84658 = 2¹ × 7¹ × 6047¹

Step-2: 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-3: Factors of 84658

List of positive integer factors of 84658 that divides 84658 without a remainder.

1, 2, 7, 14, 6047, 12094, 42329

Step-4: Factors of 84672

List of positive integer factors of 84672 that divides 84658 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84658 and 84672. The biggest common factor number is the GCF number.
So the greatest common factor 84658 and 84672 is 14.

Also check out the Least Common Multiple of 84658 and 84672