What is the Greatest Common Factor of 66948 and 66962?

Greatest common factor (GCF) of 66948 and 66962 is 14.

GCF(66948,66962) = 14

We will now calculate the prime factors of 66948 and 66962, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66948 and 66962.

How to find the GCF of 66948 and 66962?

We will first find the prime factorization of 66948 and 66962. After we will calculate the factors of 66948 and 66962 and find the biggest common factor number .

Step-1: Prime Factorization of 66948

Prime factors of 66948 are 2, 3, 7, 797. Prime factorization of 66948 in exponential form is:

66948 = 2² × 3¹ × 7¹ × 797¹

Step-2: Prime Factorization of 66962

Prime factors of 66962 are 2, 7, 4783. Prime factorization of 66962 in exponential form is:

66962 = 2¹ × 7¹ × 4783¹

Step-3: Factors of 66948

List of positive integer factors of 66948 that divides 66948 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 797, 1594, 2391, 3188, 4782, 5579, 9564, 11158, 16737, 22316, 33474

Step-4: Factors of 66962

List of positive integer factors of 66962 that divides 66948 without a remainder.

1, 2, 7, 14, 4783, 9566, 33481

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66948 and 66962. The biggest common factor number is the GCF number.
So the greatest common factor 66948 and 66962 is 14.

Also check out the Least Common Multiple of 66948 and 66962