What is the Greatest Common Factor of 73870 and 73880?

Greatest common factor (GCF) of 73870 and 73880 is 10.

GCF(73870,73880) = 10

We will now calculate the prime factors of 73870 and 73880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73870 and 73880.

How to find the GCF of 73870 and 73880?

We will first find the prime factorization of 73870 and 73880. After we will calculate the factors of 73870 and 73880 and find the biggest common factor number .

Step-1: Prime Factorization of 73870

Prime factors of 73870 are 2, 5, 83, 89. Prime factorization of 73870 in exponential form is:

73870 = 2¹ × 5¹ × 83¹ × 89¹

Step-2: 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-3: Factors of 73870

List of positive integer factors of 73870 that divides 73870 without a remainder.

1, 2, 5, 10, 83, 89, 166, 178, 415, 445, 830, 890, 7387, 14774, 36935

Step-4: Factors of 73880

List of positive integer factors of 73880 that divides 73870 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73870 and 73880. The biggest common factor number is the GCF number.
So the greatest common factor 73870 and 73880 is 10.

Also check out the Least Common Multiple of 73870 and 73880