What is the Greatest Common Factor of 71940 and 71951?

Greatest common factor (GCF) of 71940 and 71951 is 11.

GCF(71940,71951) = 11

We will now calculate the prime factors of 71940 and 71951, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71940 and 71951.

How to find the GCF of 71940 and 71951?

We will first find the prime factorization of 71940 and 71951. After we will calculate the factors of 71940 and 71951 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 71951

Prime factors of 71951 are 11, 31, 211. Prime factorization of 71951 in exponential form is:

71951 = 11¹ × 31¹ × 211¹

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 71951

List of positive integer factors of 71951 that divides 71940 without a remainder.

1, 11, 31, 211, 341, 2321, 6541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71940 and 71951. The biggest common factor number is the GCF number.
So the greatest common factor 71940 and 71951 is 11.

Also check out the Least Common Multiple of 71940 and 71951