What is the Greatest Common Factor of 73696 and 73708?

Greatest common factor (GCF) of 73696 and 73708 is 4.

GCF(73696,73708) = 4

We will now calculate the prime factors of 73696 and 73708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73696 and 73708.

How to find the GCF of 73696 and 73708?

We will first find the prime factorization of 73696 and 73708. After we will calculate the factors of 73696 and 73708 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 73708

Prime factors of 73708 are 2, 18427. Prime factorization of 73708 in exponential form is:

73708 = 2² × 18427¹

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 73708

List of positive integer factors of 73708 that divides 73696 without a remainder.

1, 2, 4, 18427, 36854

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73696 and 73708. The biggest common factor number is the GCF number.
So the greatest common factor 73696 and 73708 is 4.

Also check out the Least Common Multiple of 73696 and 73708