What is the Greatest Common Factor of 73718 and 73722?

Greatest common factor (GCF) of 73718 and 73722 is 2.

GCF(73718,73722) = 2

We will now calculate the prime factors of 73718 and 73722, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73718 and 73722.

How to find the GCF of 73718 and 73722?

We will first find the prime factorization of 73718 and 73722. After we will calculate the factors of 73718 and 73722 and find the biggest common factor number .

Step-1: Prime Factorization of 73718

Prime factors of 73718 are 2, 29, 31, 41. Prime factorization of 73718 in exponential form is:

73718 = 2¹ × 29¹ × 31¹ × 41¹

Step-2: 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-3: Factors of 73718

List of positive integer factors of 73718 that divides 73718 without a remainder.

1, 2, 29, 31, 41, 58, 62, 82, 899, 1189, 1271, 1798, 2378, 2542, 36859

Step-4: Factors of 73722

List of positive integer factors of 73722 that divides 73718 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73718 and 73722. The biggest common factor number is the GCF number.
So the greatest common factor 73718 and 73722 is 2.

Also check out the Least Common Multiple of 73718 and 73722