What is the Greatest Common Factor of 73880 and 73886?

Greatest common factor (GCF) of 73880 and 73886 is 2.

GCF(73880,73886) = 2

We will now calculate the prime factors of 73880 and 73886, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73880 and 73886.

How to find the GCF of 73880 and 73886?

We will first find the prime factorization of 73880 and 73886. After we will calculate the factors of 73880 and 73886 and find the biggest common factor number .

Step-1: Prime Factorization of 73880

Prime factors of 73880 are 2, 5, 1847. Prime factorization of 73880 in exponential form is:

73880 = 2³ × 5¹ × 1847¹

Step-2: Prime Factorization of 73886

Prime factors of 73886 are 2, 36943. Prime factorization of 73886 in exponential form is:

73886 = 2¹ × 36943¹

Step-3: Factors of 73880

List of positive integer factors of 73880 that divides 73880 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1847, 3694, 7388, 9235, 14776, 18470, 36940

Step-4: Factors of 73886

List of positive integer factors of 73886 that divides 73880 without a remainder.

1, 2, 36943

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73880 and 73886. The biggest common factor number is the GCF number.
So the greatest common factor 73880 and 73886 is 2.

Also check out the Least Common Multiple of 73880 and 73886