What is the Greatest Common Factor of 73472 and 73479?

Greatest common factor (GCF) of 73472 and 73479 is 7.

GCF(73472,73479) = 7

We will now calculate the prime factors of 73472 and 73479, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73472 and 73479.

How to find the GCF of 73472 and 73479?

We will first find the prime factorization of 73472 and 73479. After we will calculate the factors of 73472 and 73479 and find the biggest common factor number .

Step-1: Prime Factorization of 73472

Prime factors of 73472 are 2, 7, 41. Prime factorization of 73472 in exponential form is:

73472 = 2⁸ × 7¹ × 41¹

Step-2: Prime Factorization of 73479

Prime factors of 73479 are 3, 7, 3499. Prime factorization of 73479 in exponential form is:

73479 = 3¹ × 7¹ × 3499¹

Step-3: Factors of 73472

List of positive integer factors of 73472 that divides 73472 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 41, 56, 64, 82, 112, 128, 164, 224, 256, 287, 328, 448, 574, 656, 896, 1148, 1312, 1792, 2296, 2624, 4592, 5248, 9184, 10496, 18368, 36736

Step-4: Factors of 73479

List of positive integer factors of 73479 that divides 73472 without a remainder.

1, 3, 7, 21, 3499, 10497, 24493

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73472 and 73479. The biggest common factor number is the GCF number.
So the greatest common factor 73472 and 73479 is 7.

Also check out the Least Common Multiple of 73472 and 73479