What is the Greatest Common Factor of 67951 and 67968?

Greatest common factor (GCF) of 67951 and 67968 is 1.

GCF(67951,67968) = 1

We will now calculate the prime factors of 67951 and 67968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67951 and 67968.

How to find the GCF of 67951 and 67968?

We will first find the prime factorization of 67951 and 67968. After we will calculate the factors of 67951 and 67968 and find the biggest common factor number .

Step-1: Prime Factorization of 67951

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

67951 = 13¹ × 5227¹

Step-2: Prime Factorization of 67968

Prime factors of 67968 are 2, 3, 59. Prime factorization of 67968 in exponential form is:

67968 = 2⁷ × 3² × 59¹

Step-3: Factors of 67951

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

1, 13, 5227

Step-4: Factors of 67968

List of positive integer factors of 67968 that divides 67951 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 59, 64, 72, 96, 118, 128, 144, 177, 192, 236, 288, 354, 384, 472, 531, 576, 708, 944, 1062, 1152, 1416, 1888, 2124, 2832, 3776, 4248, 5664, 7552, 8496, 11328, 16992, 22656, 33984

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67951 and 67968. The biggest common factor number is the GCF number.
So the greatest common factor 67951 and 67968 is 1.

Also check out the Least Common Multiple of 67951 and 67968