What is the Greatest Common Factor of 73696 and 73712?

Greatest common factor (GCF) of 73696 and 73712 is 16.

GCF(73696,73712) = 16

We will now calculate the prime factors of 73696 and 73712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73696 and 73712.

How to find the GCF of 73696 and 73712?

We will first find the prime factorization of 73696 and 73712. After we will calculate the factors of 73696 and 73712 and find the biggest common factor number .

Step-1: Prime Factorization of 73696

Prime factors of 73696 are 2, 7, 47. Prime factorization of 73696 in exponential form is:

73696 = 2⁵ × 7² × 47¹

Step-2: Prime Factorization of 73712

Prime factors of 73712 are 2, 17, 271. Prime factorization of 73712 in exponential form is:

73712 = 2⁴ × 17¹ × 271¹

Step-3: Factors of 73696

List of positive integer factors of 73696 that divides 73696 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 47, 49, 56, 94, 98, 112, 188, 196, 224, 329, 376, 392, 658, 752, 784, 1316, 1504, 1568, 2303, 2632, 4606, 5264, 9212, 10528, 18424, 36848

Step-4: Factors of 73712

List of positive integer factors of 73712 that divides 73696 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 271, 272, 542, 1084, 2168, 4336, 4607, 9214, 18428, 36856

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73696 and 73712. The biggest common factor number is the GCF number.
So the greatest common factor 73696 and 73712 is 16.

Also check out the Least Common Multiple of 73696 and 73712