What is the Greatest Common Factor of 66941 and 66948?

Greatest common factor (GCF) of 66941 and 66948 is 7.

GCF(66941,66948) = 7

We will now calculate the prime factors of 66941 and 66948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66941 and 66948.

How to find the GCF of 66941 and 66948?

We will first find the prime factorization of 66941 and 66948. After we will calculate the factors of 66941 and 66948 and find the biggest common factor number .

Step-1: Prime Factorization of 66941

Prime factors of 66941 are 7, 73, 131. Prime factorization of 66941 in exponential form is:

66941 = 7¹ × 73¹ × 131¹

Step-2: 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-3: Factors of 66941

List of positive integer factors of 66941 that divides 66941 without a remainder.

1, 7, 73, 131, 511, 917, 9563

Step-4: Factors of 66948

List of positive integer factors of 66948 that divides 66941 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66941 and 66948. The biggest common factor number is the GCF number.
So the greatest common factor 66941 and 66948 is 7.

Also check out the Least Common Multiple of 66941 and 66948