What is the Greatest Common Factor of 71930 and 71940?

Greatest common factor (GCF) of 71930 and 71940 is 10.

GCF(71930,71940) = 10

We will now calculate the prime factors of 71930 and 71940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71930 and 71940.

How to find the GCF of 71930 and 71940?

We will first find the prime factorization of 71930 and 71940. After we will calculate the factors of 71930 and 71940 and find the biggest common factor number .

Step-1: Prime Factorization of 71930

Prime factors of 71930 are 2, 5, 7193. Prime factorization of 71930 in exponential form is:

71930 = 2¹ × 5¹ × 7193¹

Step-2: Prime Factorization of 71940

Prime factors of 71940 are 2, 3, 5, 11, 109. Prime factorization of 71940 in exponential form is:

71940 = 2² × 3¹ × 5¹ × 11¹ × 109¹

Step-3: Factors of 71930

List of positive integer factors of 71930 that divides 71930 without a remainder.

1, 2, 5, 10, 7193, 14386, 35965

Step-4: Factors of 71940

List of positive integer factors of 71940 that divides 71930 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 109, 110, 132, 165, 218, 220, 327, 330, 436, 545, 654, 660, 1090, 1199, 1308, 1635, 2180, 2398, 3270, 3597, 4796, 5995, 6540, 7194, 11990, 14388, 17985, 23980, 35970

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71930 and 71940. The biggest common factor number is the GCF number.
So the greatest common factor 71930 and 71940 is 10.

Also check out the Least Common Multiple of 71930 and 71940