What is the Greatest Common Factor of 73740 and 73748?

Greatest common factor (GCF) of 73740 and 73748 is 4.

GCF(73740,73748) = 4

We will now calculate the prime factors of 73740 and 73748, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73740 and 73748.

How to find the GCF of 73740 and 73748?

We will first find the prime factorization of 73740 and 73748. After we will calculate the factors of 73740 and 73748 and find the biggest common factor number .

Step-1: Prime Factorization of 73740

Prime factors of 73740 are 2, 3, 5, 1229. Prime factorization of 73740 in exponential form is:

73740 = 2² × 3¹ × 5¹ × 1229¹

Step-2: Prime Factorization of 73748

Prime factors of 73748 are 2, 103, 179. Prime factorization of 73748 in exponential form is:

73748 = 2² × 103¹ × 179¹

Step-3: Factors of 73740

List of positive integer factors of 73740 that divides 73740 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1229, 2458, 3687, 4916, 6145, 7374, 12290, 14748, 18435, 24580, 36870

Step-4: Factors of 73748

List of positive integer factors of 73748 that divides 73740 without a remainder.

1, 2, 4, 103, 179, 206, 358, 412, 716, 18437, 36874

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73740 and 73748. The biggest common factor number is the GCF number.
So the greatest common factor 73740 and 73748 is 4.

Also check out the Least Common Multiple of 73740 and 73748