What is the Greatest Common Factor of 67947 and 67962?

Greatest common factor (GCF) of 67947 and 67962 is 3.

GCF(67947,67962) = 3

We will now calculate the prime factors of 67947 and 67962, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67947 and 67962.

How to find the GCF of 67947 and 67962?

We will first find the prime factorization of 67947 and 67962. After we will calculate the factors of 67947 and 67962 and find the biggest common factor number .

Step-1: Prime Factorization of 67947

Prime factors of 67947 are 3, 11, 29, 71. Prime factorization of 67947 in exponential form is:

67947 = 3¹ × 11¹ × 29¹ × 71¹

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 67947

List of positive integer factors of 67947 that divides 67947 without a remainder.

1, 3, 11, 29, 33, 71, 87, 213, 319, 781, 957, 2059, 2343, 6177, 22649

Step-4: Factors of 67962

List of positive integer factors of 67962 that divides 67947 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 67947 and 67962. The biggest common factor number is the GCF number.
So the greatest common factor 67947 and 67962 is 3.

Also check out the Least Common Multiple of 67947 and 67962