What is the Greatest Common Factor of 73744 and 73752?

Greatest common factor (GCF) of 73744 and 73752 is 8.

GCF(73744,73752) = 8

We will now calculate the prime factors of 73744 and 73752, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73744 and 73752.

How to find the GCF of 73744 and 73752?

We will first find the prime factorization of 73744 and 73752. After we will calculate the factors of 73744 and 73752 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 73752

Prime factors of 73752 are 2, 3, 7, 439. Prime factorization of 73752 in exponential form is:

73752 = 2³ × 3¹ × 7¹ × 439¹

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 73752

List of positive integer factors of 73752 that divides 73744 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 439, 878, 1317, 1756, 2634, 3073, 3512, 5268, 6146, 9219, 10536, 12292, 18438, 24584, 36876

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73744 and 73752. The biggest common factor number is the GCF number.
So the greatest common factor 73744 and 73752 is 8.

Also check out the Least Common Multiple of 73744 and 73752