What is the Greatest Common Factor of 67952 and 67971?

Greatest common factor (GCF) of 67952 and 67971 is 1.

GCF(67952,67971) = 1

We will now calculate the prime factors of 67952 and 67971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67952 and 67971.

How to find the GCF of 67952 and 67971?

We will first find the prime factorization of 67952 and 67971. After we will calculate the factors of 67952 and 67971 and find the biggest common factor number .

Step-1: Prime Factorization of 67952

Prime factors of 67952 are 2, 31, 137. Prime factorization of 67952 in exponential form is:

67952 = 2⁴ × 31¹ × 137¹

Step-2: Prime Factorization of 67971

Prime factors of 67971 are 3, 139, 163. Prime factorization of 67971 in exponential form is:

67971 = 3¹ × 139¹ × 163¹

Step-3: Factors of 67952

List of positive integer factors of 67952 that divides 67952 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 137, 248, 274, 496, 548, 1096, 2192, 4247, 8494, 16988, 33976

Step-4: Factors of 67971

List of positive integer factors of 67971 that divides 67952 without a remainder.

1, 3, 139, 163, 417, 489, 22657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67952 and 67971. The biggest common factor number is the GCF number.
So the greatest common factor 67952 and 67971 is 1.

Also check out the Least Common Multiple of 67952 and 67971