What is the Greatest Common Factor of 71940 and 71950?

Greatest common factor (GCF) of 71940 and 71950 is 10.

GCF(71940,71950) = 10

We will now calculate the prime factors of 71940 and 71950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71940 and 71950.

How to find the GCF of 71940 and 71950?

We will first find the prime factorization of 71940 and 71950. After we will calculate the factors of 71940 and 71950 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 71950

Prime factors of 71950 are 2, 5, 1439. Prime factorization of 71950 in exponential form is:

71950 = 2¹ × 5² × 1439¹

Step-3: Factors of 71940

List of positive integer factors of 71940 that divides 71940 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

Step-4: Factors of 71950

List of positive integer factors of 71950 that divides 71940 without a remainder.

1, 2, 5, 10, 25, 50, 1439, 2878, 7195, 14390, 35975

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71940 and 71950. The biggest common factor number is the GCF number.
So the greatest common factor 71940 and 71950 is 10.

Also check out the Least Common Multiple of 71940 and 71950