What is the Greatest Common Factor of 30954 and 30968?

Greatest common factor (GCF) of 30954 and 30968 is 14.

GCF(30954,30968) = 14

We will now calculate the prime factors of 30954 and 30968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30954 and 30968.

How to find the GCF of 30954 and 30968?

We will first find the prime factorization of 30954 and 30968. After we will calculate the factors of 30954 and 30968 and find the biggest common factor number .

Step-1: Prime Factorization of 30954

Prime factors of 30954 are 2, 3, 7, 11, 67. Prime factorization of 30954 in exponential form is:

30954 = 2¹ × 3¹ × 7¹ × 11¹ × 67¹

Step-2: Prime Factorization of 30968

Prime factors of 30968 are 2, 7, 79. Prime factorization of 30968 in exponential form is:

30968 = 2³ × 7² × 79¹

Step-3: Factors of 30954

List of positive integer factors of 30954 that divides 30954 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 67, 77, 134, 154, 201, 231, 402, 462, 469, 737, 938, 1407, 1474, 2211, 2814, 4422, 5159, 10318, 15477

Step-4: Factors of 30968

List of positive integer factors of 30968 that divides 30954 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 79, 98, 158, 196, 316, 392, 553, 632, 1106, 2212, 3871, 4424, 7742, 15484

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30954 and 30968. The biggest common factor number is the GCF number.
So the greatest common factor 30954 and 30968 is 14.

Also check out the Least Common Multiple of 30954 and 30968