What is the Greatest Common Factor of 67946 and 67962?

Greatest common factor (GCF) of 67946 and 67962 is 2.

GCF(67946,67962) = 2

We will now calculate the prime factors of 67946 and 67962, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67946 and 67962.

How to find the GCF of 67946 and 67962?

We will first find the prime factorization of 67946 and 67962. After we will calculate the factors of 67946 and 67962 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 67962

Prime factors of 67962 are 2, 3, 47, 241. Prime factorization of 67962 in exponential form is:

67962 = 2¹ × 3¹ × 47¹ × 241¹

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 67962

List of positive integer factors of 67962 that divides 67946 without a remainder.

1, 2, 3, 6, 47, 94, 141, 241, 282, 482, 723, 1446, 11327, 22654, 33981

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67946 and 67962. The biggest common factor number is the GCF number.
So the greatest common factor 67946 and 67962 is 2.

Also check out the Least Common Multiple of 67946 and 67962