What is the Greatest Common Factor of 73722 and 73736?

Greatest common factor (GCF) of 73722 and 73736 is 2.

GCF(73722,73736) = 2

We will now calculate the prime factors of 73722 and 73736, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73722 and 73736.

How to find the GCF of 73722 and 73736?

We will first find the prime factorization of 73722 and 73736. After we will calculate the factors of 73722 and 73736 and find the biggest common factor number .

Step-1: Prime Factorization of 73722

Prime factors of 73722 are 2, 3, 11, 1117. Prime factorization of 73722 in exponential form is:

73722 = 2¹ × 3¹ × 11¹ × 1117¹

Step-2: Prime Factorization of 73736

Prime factors of 73736 are 2, 13, 709. Prime factorization of 73736 in exponential form is:

73736 = 2³ × 13¹ × 709¹

Step-3: Factors of 73722

List of positive integer factors of 73722 that divides 73722 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1117, 2234, 3351, 6702, 12287, 24574, 36861

Step-4: Factors of 73736

List of positive integer factors of 73736 that divides 73722 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 709, 1418, 2836, 5672, 9217, 18434, 36868

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73722 and 73736. The biggest common factor number is the GCF number.
So the greatest common factor 73722 and 73736 is 2.

Also check out the Least Common Multiple of 73722 and 73736