What is the Greatest Common Factor of 47962 and 47971?

Greatest common factor (GCF) of 47962 and 47971 is 1.

GCF(47962,47971) = 1

We will now calculate the prime factors of 47962 and 47971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47962 and 47971.

How to find the GCF of 47962 and 47971?

We will first find the prime factorization of 47962 and 47971. After we will calculate the factors of 47962 and 47971 and find the biggest common factor number .

Step-1: Prime Factorization of 47962

Prime factors of 47962 are 2, 23981. Prime factorization of 47962 in exponential form is:

47962 = 2¹ × 23981¹

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 47962

List of positive integer factors of 47962 that divides 47962 without a remainder.

1, 2, 23981

Step-4: Factors of 47971

List of positive integer factors of 47971 that divides 47962 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 47962 and 47971. The biggest common factor number is the GCF number.
So the greatest common factor 47962 and 47971 is 1.

Also check out the Least Common Multiple of 47962 and 47971