What is the Greatest Common Factor of 73820 and 73824?

Greatest common factor (GCF) of 73820 and 73824 is 4.

GCF(73820,73824) = 4

We will now calculate the prime factors of 73820 and 73824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73820 and 73824.

How to find the GCF of 73820 and 73824?

We will first find the prime factorization of 73820 and 73824. After we will calculate the factors of 73820 and 73824 and find the biggest common factor number .

Step-1: Prime Factorization of 73820

Prime factors of 73820 are 2, 5, 3691. Prime factorization of 73820 in exponential form is:

73820 = 2² × 5¹ × 3691¹

Step-2: Prime Factorization of 73824

Prime factors of 73824 are 2, 3, 769. Prime factorization of 73824 in exponential form is:

73824 = 2⁵ × 3¹ × 769¹

Step-3: Factors of 73820

List of positive integer factors of 73820 that divides 73820 without a remainder.

1, 2, 4, 5, 10, 20, 3691, 7382, 14764, 18455, 36910

Step-4: Factors of 73824

List of positive integer factors of 73824 that divides 73820 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 769, 1538, 2307, 3076, 4614, 6152, 9228, 12304, 18456, 24608, 36912

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73820 and 73824. The biggest common factor number is the GCF number.
So the greatest common factor 73820 and 73824 is 4.

Also check out the Least Common Multiple of 73820 and 73824