What is the Greatest Common Factor of 47965 and 47971?

Greatest common factor (GCF) of 47965 and 47971 is 1.

GCF(47965,47971) = 1

We will now calculate the prime factors of 47965 and 47971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47965 and 47971.

How to find the GCF of 47965 and 47971?

We will first find the prime factorization of 47965 and 47971. After we will calculate the factors of 47965 and 47971 and find the biggest common factor number .

Step-1: Prime Factorization of 47965

Prime factors of 47965 are 5, 53, 181. Prime factorization of 47965 in exponential form is:

47965 = 5¹ × 53¹ × 181¹

Step-2: Prime Factorization of 47971

Prime factors of 47971 are 7, 11, 89. Prime factorization of 47971 in exponential form is:

47971 = 7² × 11¹ × 89¹

Step-3: Factors of 47965

List of positive integer factors of 47965 that divides 47965 without a remainder.

1, 5, 53, 181, 265, 905, 9593

Step-4: Factors of 47971

List of positive integer factors of 47971 that divides 47965 without a remainder.

1, 7, 11, 49, 77, 89, 539, 623, 979, 4361, 6853

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47965 and 47971. The biggest common factor number is the GCF number.
So the greatest common factor 47965 and 47971 is 1.

Also check out the Least Common Multiple of 47965 and 47971