What is the Greatest Common Factor of 47696 and 47712?

Greatest common factor (GCF) of 47696 and 47712 is 16.

GCF(47696,47712) = 16

We will now calculate the prime factors of 47696 and 47712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47696 and 47712.

How to find the GCF of 47696 and 47712?

We will first find the prime factorization of 47696 and 47712. After we will calculate the factors of 47696 and 47712 and find the biggest common factor number .

Step-1: Prime Factorization of 47696

Prime factors of 47696 are 2, 11, 271. Prime factorization of 47696 in exponential form is:

47696 = 2⁴ × 11¹ × 271¹

Step-2: Prime Factorization of 47712

Prime factors of 47712 are 2, 3, 7, 71. Prime factorization of 47712 in exponential form is:

47712 = 2⁵ × 3¹ × 7¹ × 71¹

Step-3: Factors of 47696

List of positive integer factors of 47696 that divides 47696 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 271, 542, 1084, 2168, 2981, 4336, 5962, 11924, 23848

Step-4: Factors of 47712

List of positive integer factors of 47712 that divides 47696 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 71, 84, 96, 112, 142, 168, 213, 224, 284, 336, 426, 497, 568, 672, 852, 994, 1136, 1491, 1704, 1988, 2272, 2982, 3408, 3976, 5964, 6816, 7952, 11928, 15904, 23856

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47696 and 47712. The biggest common factor number is the GCF number.
So the greatest common factor 47696 and 47712 is 16.

Also check out the Least Common Multiple of 47696 and 47712