What is the Greatest Common Factor of 67946 and 67956?

Greatest common factor (GCF) of 67946 and 67956 is 2.

GCF(67946,67956) = 2

We will now calculate the prime factors of 67946 and 67956, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67946 and 67956.

How to find the GCF of 67946 and 67956?

We will first find the prime factorization of 67946 and 67956. After we will calculate the factors of 67946 and 67956 and find the biggest common factor number .

Step-1: Prime Factorization of 67946

Prime factors of 67946 are 2, 53, 641. Prime factorization of 67946 in exponential form is:

67946 = 2¹ × 53¹ × 641¹

Step-2: Prime Factorization of 67956

Prime factors of 67956 are 2, 3, 7, 809. Prime factorization of 67956 in exponential form is:

67956 = 2² × 3¹ × 7¹ × 809¹

Step-3: Factors of 67946

List of positive integer factors of 67946 that divides 67946 without a remainder.

1, 2, 53, 106, 641, 1282, 33973

Step-4: Factors of 67956

List of positive integer factors of 67956 that divides 67946 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 809, 1618, 2427, 3236, 4854, 5663, 9708, 11326, 16989, 22652, 33978

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67946 and 67956. The biggest common factor number is the GCF number.
So the greatest common factor 67946 and 67956 is 2.

Also check out the Least Common Multiple of 67946 and 67956