What is the Greatest Common Factor of 73930 and 73940?

Greatest common factor (GCF) of 73930 and 73940 is 10.

GCF(73930,73940) = 10

We will now calculate the prime factors of 73930 and 73940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73930 and 73940.

How to find the GCF of 73930 and 73940?

We will first find the prime factorization of 73930 and 73940. After we will calculate the factors of 73930 and 73940 and find the biggest common factor number .

Step-1: Prime Factorization of 73930

Prime factors of 73930 are 2, 5, 7393. Prime factorization of 73930 in exponential form is:

73930 = 2¹ × 5¹ × 7393¹

Step-2: Prime Factorization of 73940

Prime factors of 73940 are 2, 5, 3697. Prime factorization of 73940 in exponential form is:

73940 = 2² × 5¹ × 3697¹

Step-3: Factors of 73930

List of positive integer factors of 73930 that divides 73930 without a remainder.

1, 2, 5, 10, 7393, 14786, 36965

Step-4: Factors of 73940

List of positive integer factors of 73940 that divides 73930 without a remainder.

1, 2, 4, 5, 10, 20, 3697, 7394, 14788, 18485, 36970

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73930 and 73940. The biggest common factor number is the GCF number.
So the greatest common factor 73930 and 73940 is 10.

Also check out the Least Common Multiple of 73930 and 73940