What is the Greatest Common Factor of 5369 and 5376?

Greatest common factor (GCF) of 5369 and 5376 is 7.

GCF(5369,5376) = 7

We will now calculate the prime factors of 5369 and 5376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5369 and 5376.

How to find the GCF of 5369 and 5376?

We will first find the prime factorization of 5369 and 5376. After we will calculate the factors of 5369 and 5376 and find the biggest common factor number .

Step-1: Prime Factorization of 5369

Prime factors of 5369 are 7, 13, 59. Prime factorization of 5369 in exponential form is:

5369 = 7¹ × 13¹ × 59¹

Step-2: Prime Factorization of 5376

Prime factors of 5376 are 2, 3, 7. Prime factorization of 5376 in exponential form is:

5376 = 2⁸ × 3¹ × 7¹

Step-3: Factors of 5369

List of positive integer factors of 5369 that divides 5369 without a remainder.

1, 7, 13, 59, 91, 413, 767

Step-4: Factors of 5376

List of positive integer factors of 5376 that divides 5369 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 128, 168, 192, 224, 256, 336, 384, 448, 672, 768, 896, 1344, 1792, 2688

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5369 and 5376. The biggest common factor number is the GCF number.
So the greatest common factor 5369 and 5376 is 7.

Also check out the Least Common Multiple of 5369 and 5376