What is the Greatest Common Factor of 73682 and 73696?

Greatest common factor (GCF) of 73682 and 73696 is 14.

GCF(73682,73696) = 14

We will now calculate the prime factors of 73682 and 73696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73682 and 73696.

How to find the GCF of 73682 and 73696?

We will first find the prime factorization of 73682 and 73696. After we will calculate the factors of 73682 and 73696 and find the biggest common factor number .

Step-1: Prime Factorization of 73682

Prime factors of 73682 are 2, 7, 19, 277. Prime factorization of 73682 in exponential form is:

73682 = 2¹ × 7¹ × 19¹ × 277¹

Step-2: 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-3: Factors of 73682

List of positive integer factors of 73682 that divides 73682 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266, 277, 554, 1939, 3878, 5263, 10526, 36841

Step-4: Factors of 73696

List of positive integer factors of 73696 that divides 73682 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73682 and 73696. The biggest common factor number is the GCF number.
So the greatest common factor 73682 and 73696 is 14.

Also check out the Least Common Multiple of 73682 and 73696