What is the Greatest Common Factor of 67938 and 67951?

Greatest common factor (GCF) of 67938 and 67951 is 13.

GCF(67938,67951) = 13

We will now calculate the prime factors of 67938 and 67951, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67938 and 67951.

How to find the GCF of 67938 and 67951?

We will first find the prime factorization of 67938 and 67951. After we will calculate the factors of 67938 and 67951 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 67951

Prime factors of 67951 are 13, 5227. Prime factorization of 67951 in exponential form is:

67951 = 13¹ × 5227¹

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 67951

List of positive integer factors of 67951 that divides 67938 without a remainder.

1, 13, 5227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67938 and 67951. The biggest common factor number is the GCF number.
So the greatest common factor 67938 and 67951 is 13.

Also check out the Least Common Multiple of 67938 and 67951