What is the Greatest Common Factor of 66958 and 66972?

Greatest common factor (GCF) of 66958 and 66972 is 2.

GCF(66958,66972) = 2

We will now calculate the prime factors of 66958 and 66972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66958 and 66972.

How to find the GCF of 66958 and 66972?

We will first find the prime factorization of 66958 and 66972. After we will calculate the factors of 66958 and 66972 and find the biggest common factor number .

Step-1: Prime Factorization of 66958

Prime factors of 66958 are 2, 33479. Prime factorization of 66958 in exponential form is:

66958 = 2¹ × 33479¹

Step-2: Prime Factorization of 66972

Prime factors of 66972 are 2, 3, 5581. Prime factorization of 66972 in exponential form is:

66972 = 2² × 3¹ × 5581¹

Step-3: Factors of 66958

List of positive integer factors of 66958 that divides 66958 without a remainder.

1, 2, 33479

Step-4: Factors of 66972

List of positive integer factors of 66972 that divides 66958 without a remainder.

1, 2, 3, 4, 6, 12, 5581, 11162, 16743, 22324, 33486

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66958 and 66972. The biggest common factor number is the GCF number.
So the greatest common factor 66958 and 66972 is 2.

Also check out the Least Common Multiple of 66958 and 66972