What is the Greatest Common Factor of 73864 and 73876?

Greatest common factor (GCF) of 73864 and 73876 is 4.

GCF(73864,73876) = 4

We will now calculate the prime factors of 73864 and 73876, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73864 and 73876.

How to find the GCF of 73864 and 73876?

We will first find the prime factorization of 73864 and 73876. After we will calculate the factors of 73864 and 73876 and find the biggest common factor number .

Step-1: Prime Factorization of 73864

Prime factors of 73864 are 2, 7, 1319. Prime factorization of 73864 in exponential form is:

73864 = 2³ × 7¹ × 1319¹

Step-2: Prime Factorization of 73876

Prime factors of 73876 are 2, 11, 23, 73. Prime factorization of 73876 in exponential form is:

73876 = 2² × 11¹ × 23¹ × 73¹

Step-3: Factors of 73864

List of positive integer factors of 73864 that divides 73864 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1319, 2638, 5276, 9233, 10552, 18466, 36932

Step-4: Factors of 73876

List of positive integer factors of 73876 that divides 73864 without a remainder.

1, 2, 4, 11, 22, 23, 44, 46, 73, 92, 146, 253, 292, 506, 803, 1012, 1606, 1679, 3212, 3358, 6716, 18469, 36938

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73864 and 73876. The biggest common factor number is the GCF number.
So the greatest common factor 73864 and 73876 is 4.

Also check out the Least Common Multiple of 73864 and 73876