What is the Greatest Common Factor of 67938 and 67952?

Greatest common factor (GCF) of 67938 and 67952 is 2.

GCF(67938,67952) = 2

We will now calculate the prime factors of 67938 and 67952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67938 and 67952.

How to find the GCF of 67938 and 67952?

We will first find the prime factorization of 67938 and 67952. After we will calculate the factors of 67938 and 67952 and find the biggest common factor number .

Step-1: Prime Factorization of 67938

Prime factors of 67938 are 2, 3, 13, 67. Prime factorization of 67938 in exponential form is:

67938 = 2¹ × 3¹ × 13² × 67¹

Step-2: 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-3: Factors of 67938

List of positive integer factors of 67938 that divides 67938 without a remainder.

1, 2, 3, 6, 13, 26, 39, 67, 78, 134, 169, 201, 338, 402, 507, 871, 1014, 1742, 2613, 5226, 11323, 22646, 33969

Step-4: Factors of 67952

List of positive integer factors of 67952 that divides 67938 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67938 and 67952. The biggest common factor number is the GCF number.
So the greatest common factor 67938 and 67952 is 2.

Also check out the Least Common Multiple of 67938 and 67952