What is the Greatest Common Factor of 51380 and 51392?

Greatest common factor (GCF) of 51380 and 51392 is 4.

GCF(51380,51392) = 4

We will now calculate the prime factors of 51380 and 51392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51380 and 51392.

How to find the GCF of 51380 and 51392?

We will first find the prime factorization of 51380 and 51392. After we will calculate the factors of 51380 and 51392 and find the biggest common factor number .

Step-1: Prime Factorization of 51380

Prime factors of 51380 are 2, 5, 7, 367. Prime factorization of 51380 in exponential form is:

51380 = 2² × 5¹ × 7¹ × 367¹

Step-2: Prime Factorization of 51392

Prime factors of 51392 are 2, 11, 73. Prime factorization of 51392 in exponential form is:

51392 = 2⁶ × 11¹ × 73¹

Step-3: Factors of 51380

List of positive integer factors of 51380 that divides 51380 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 367, 734, 1468, 1835, 2569, 3670, 5138, 7340, 10276, 12845, 25690

Step-4: Factors of 51392

List of positive integer factors of 51392 that divides 51380 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 73, 88, 146, 176, 292, 352, 584, 704, 803, 1168, 1606, 2336, 3212, 4672, 6424, 12848, 25696

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51380 and 51392. The biggest common factor number is the GCF number.
So the greatest common factor 51380 and 51392 is 4.

Also check out the Least Common Multiple of 51380 and 51392