What is the Greatest Common Factor of 71921 and 71940?

Greatest common factor (GCF) of 71921 and 71940 is 1.

GCF(71921,71940) = 1

We will now calculate the prime factors of 71921 and 71940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71921 and 71940.

How to find the GCF of 71921 and 71940?

We will first find the prime factorization of 71921 and 71940. After we will calculate the factors of 71921 and 71940 and find the biggest common factor number .

Step-1: Prime Factorization of 71921

Prime factors of 71921 are 23, 53, 59. Prime factorization of 71921 in exponential form is:

71921 = 23¹ × 53¹ × 59¹

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 71921

List of positive integer factors of 71921 that divides 71921 without a remainder.

1, 23, 53, 59, 1219, 1357, 3127

Step-4: Factors of 71940

List of positive integer factors of 71940 that divides 71921 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 71921 and 71940. The biggest common factor number is the GCF number.
So the greatest common factor 71921 and 71940 is 1.

Also check out the Least Common Multiple of 71921 and 71940