What is the Greatest Common Factor of 66591 and 66598?

Greatest common factor (GCF) of 66591 and 66598 is 7.

GCF(66591,66598) = 7

We will now calculate the prime factors of 66591 and 66598, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66591 and 66598.

How to find the GCF of 66591 and 66598?

We will first find the prime factorization of 66591 and 66598. After we will calculate the factors of 66591 and 66598 and find the biggest common factor number .

Step-1: Prime Factorization of 66591

Prime factors of 66591 are 3, 7, 151. Prime factorization of 66591 in exponential form is:

66591 = 3² × 7² × 151¹

Step-2: Prime Factorization of 66598

Prime factors of 66598 are 2, 7, 67, 71. Prime factorization of 66598 in exponential form is:

66598 = 2¹ × 7¹ × 67¹ × 71¹

Step-3: Factors of 66591

List of positive integer factors of 66591 that divides 66591 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 151, 441, 453, 1057, 1359, 3171, 7399, 9513, 22197

Step-4: Factors of 66598

List of positive integer factors of 66598 that divides 66591 without a remainder.

1, 2, 7, 14, 67, 71, 134, 142, 469, 497, 938, 994, 4757, 9514, 33299

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66591 and 66598. The biggest common factor number is the GCF number.
So the greatest common factor 66591 and 66598 is 7.

Also check out the Least Common Multiple of 66591 and 66598