What is the Greatest Common Factor of 71980 and 71989?

Greatest common factor (GCF) of 71980 and 71989 is 1.

GCF(71980,71989) = 1

We will now calculate the prime factors of 71980 and 71989, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71980 and 71989.

How to find the GCF of 71980 and 71989?

We will first find the prime factorization of 71980 and 71989. After we will calculate the factors of 71980 and 71989 and find the biggest common factor number .

Step-1: Prime Factorization of 71980

Prime factors of 71980 are 2, 5, 59, 61. Prime factorization of 71980 in exponential form is:

71980 = 2² × 5¹ × 59¹ × 61¹

Step-2: Prime Factorization of 71989

Prime factors of 71989 are 193, 373. Prime factorization of 71989 in exponential form is:

71989 = 193¹ × 373¹

Step-3: Factors of 71980

List of positive integer factors of 71980 that divides 71980 without a remainder.

1, 2, 4, 5, 10, 20, 59, 61, 118, 122, 236, 244, 295, 305, 590, 610, 1180, 1220, 3599, 7198, 14396, 17995, 35990

Step-4: Factors of 71989

List of positive integer factors of 71989 that divides 71980 without a remainder.

1, 193, 373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71980 and 71989. The biggest common factor number is the GCF number.
So the greatest common factor 71980 and 71989 is 1.

Also check out the Least Common Multiple of 71980 and 71989