What is the Greatest Common Factor of 5362 and 5376?

Greatest common factor (GCF) of 5362 and 5376 is 14.

GCF(5362,5376) = 14

We will now calculate the prime factors of 5362 and 5376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5362 and 5376.

How to find the GCF of 5362 and 5376?

We will first find the prime factorization of 5362 and 5376. After we will calculate the factors of 5362 and 5376 and find the biggest common factor number .

Step-1: Prime Factorization of 5362

Prime factors of 5362 are 2, 7, 383. Prime factorization of 5362 in exponential form is:

5362 = 2¹ × 7¹ × 383¹

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 5362

List of positive integer factors of 5362 that divides 5362 without a remainder.

1, 2, 7, 14, 383, 766, 2681

Step-4: Factors of 5376

List of positive integer factors of 5376 that divides 5362 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 5362 and 5376. The biggest common factor number is the GCF number.
So the greatest common factor 5362 and 5376 is 14.

Also check out the Least Common Multiple of 5362 and 5376