What is the Greatest Common Factor of 73744 and 73758?

Greatest common factor (GCF) of 73744 and 73758 is 2.

GCF(73744,73758) = 2

We will now calculate the prime factors of 73744 and 73758, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73744 and 73758.

How to find the GCF of 73744 and 73758?

We will first find the prime factorization of 73744 and 73758. After we will calculate the factors of 73744 and 73758 and find the biggest common factor number .

Step-1: Prime Factorization of 73744

Prime factors of 73744 are 2, 11, 419. Prime factorization of 73744 in exponential form is:

73744 = 2⁴ × 11¹ × 419¹

Step-2: Prime Factorization of 73758

Prime factors of 73758 are 2, 3, 19, 647. Prime factorization of 73758 in exponential form is:

73758 = 2¹ × 3¹ × 19¹ × 647¹

Step-3: Factors of 73744

List of positive integer factors of 73744 that divides 73744 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 419, 838, 1676, 3352, 4609, 6704, 9218, 18436, 36872

Step-4: Factors of 73758

List of positive integer factors of 73758 that divides 73744 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 647, 1294, 1941, 3882, 12293, 24586, 36879

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73744 and 73758. The biggest common factor number is the GCF number.
So the greatest common factor 73744 and 73758 is 2.

Also check out the Least Common Multiple of 73744 and 73758