What is the Greatest Common Factor of 66472 and 66479?

Greatest common factor (GCF) of 66472 and 66479 is 7.

GCF(66472,66479) = 7

We will now calculate the prime factors of 66472 and 66479, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66472 and 66479.

How to find the GCF of 66472 and 66479?

We will first find the prime factorization of 66472 and 66479. After we will calculate the factors of 66472 and 66479 and find the biggest common factor number .

Step-1: Prime Factorization of 66472

Prime factors of 66472 are 2, 7, 1187. Prime factorization of 66472 in exponential form is:

66472 = 2³ × 7¹ × 1187¹

Step-2: Prime Factorization of 66479

Prime factors of 66479 are 7, 9497. Prime factorization of 66479 in exponential form is:

66479 = 7¹ × 9497¹

Step-3: Factors of 66472

List of positive integer factors of 66472 that divides 66472 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1187, 2374, 4748, 8309, 9496, 16618, 33236

Step-4: Factors of 66479

List of positive integer factors of 66479 that divides 66472 without a remainder.

1, 7, 9497

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66472 and 66479. The biggest common factor number is the GCF number.
So the greatest common factor 66472 and 66479 is 7.

Also check out the Least Common Multiple of 66472 and 66479