What is the Greatest Common Factor of 94688 and 94702?

Greatest common factor (GCF) of 94688 and 94702 is 2.

GCF(94688,94702) = 2

We will now calculate the prime factors of 94688 and 94702, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94688 and 94702.

How to find the GCF of 94688 and 94702?

We will first find the prime factorization of 94688 and 94702. After we will calculate the factors of 94688 and 94702 and find the biggest common factor number .

Step-1: Prime Factorization of 94688

Prime factors of 94688 are 2, 11, 269. Prime factorization of 94688 in exponential form is:

94688 = 2⁵ × 11¹ × 269¹

Step-2: Prime Factorization of 94702

Prime factors of 94702 are 2, 47351. Prime factorization of 94702 in exponential form is:

94702 = 2¹ × 47351¹

Step-3: Factors of 94688

List of positive integer factors of 94688 that divides 94688 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 269, 352, 538, 1076, 2152, 2959, 4304, 5918, 8608, 11836, 23672, 47344

Step-4: Factors of 94702

List of positive integer factors of 94702 that divides 94688 without a remainder.

1, 2, 47351

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94688 and 94702. The biggest common factor number is the GCF number.
So the greatest common factor 94688 and 94702 is 2.

Also check out the Least Common Multiple of 94688 and 94702