What is the Greatest Common Factor of 73846 and 73864?

Greatest common factor (GCF) of 73846 and 73864 is 2.

GCF(73846,73864) = 2

We will now calculate the prime factors of 73846 and 73864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73846 and 73864.

How to find the GCF of 73846 and 73864?

We will first find the prime factorization of 73846 and 73864. After we will calculate the factors of 73846 and 73864 and find the biggest common factor number .

Step-1: Prime Factorization of 73846

Prime factors of 73846 are 2, 36923. Prime factorization of 73846 in exponential form is:

73846 = 2¹ × 36923¹

Step-2: 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-3: Factors of 73846

List of positive integer factors of 73846 that divides 73846 without a remainder.

1, 2, 36923

Step-4: Factors of 73864

List of positive integer factors of 73864 that divides 73846 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73846 and 73864. The biggest common factor number is the GCF number.
So the greatest common factor 73846 and 73864 is 2.

Also check out the Least Common Multiple of 73846 and 73864