What is the Greatest Common Factor of 73746 and 73752?

Greatest common factor (GCF) of 73746 and 73752 is 6.

GCF(73746,73752) = 6

We will now calculate the prime factors of 73746 and 73752, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73746 and 73752.

How to find the GCF of 73746 and 73752?

We will first find the prime factorization of 73746 and 73752. After we will calculate the factors of 73746 and 73752 and find the biggest common factor number .

Step-1: Prime Factorization of 73746

Prime factors of 73746 are 2, 3, 17, 241. Prime factorization of 73746 in exponential form is:

73746 = 2¹ × 3² × 17¹ × 241¹

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 73746

List of positive integer factors of 73746 that divides 73746 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 241, 306, 482, 723, 1446, 2169, 4097, 4338, 8194, 12291, 24582, 36873

Step-4: Factors of 73752

List of positive integer factors of 73752 that divides 73746 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 73746 and 73752. The biggest common factor number is the GCF number.
So the greatest common factor 73746 and 73752 is 6.

Also check out the Least Common Multiple of 73746 and 73752