What is the Greatest Common Factor of 53380 and 53392?

Greatest common factor (GCF) of 53380 and 53392 is 4.

GCF(53380,53392) = 4

We will now calculate the prime factors of 53380 and 53392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53380 and 53392.

How to find the GCF of 53380 and 53392?

We will first find the prime factorization of 53380 and 53392. After we will calculate the factors of 53380 and 53392 and find the biggest common factor number .

Step-1: Prime Factorization of 53380

Prime factors of 53380 are 2, 5, 17, 157. Prime factorization of 53380 in exponential form is:

53380 = 2² × 5¹ × 17¹ × 157¹

Step-2: Prime Factorization of 53392

Prime factors of 53392 are 2, 47, 71. Prime factorization of 53392 in exponential form is:

53392 = 2⁴ × 47¹ × 71¹

Step-3: Factors of 53380

List of positive integer factors of 53380 that divides 53380 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 157, 170, 314, 340, 628, 785, 1570, 2669, 3140, 5338, 10676, 13345, 26690

Step-4: Factors of 53392

List of positive integer factors of 53392 that divides 53380 without a remainder.

1, 2, 4, 8, 16, 47, 71, 94, 142, 188, 284, 376, 568, 752, 1136, 3337, 6674, 13348, 26696

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53380 and 53392. The biggest common factor number is the GCF number.
So the greatest common factor 53380 and 53392 is 4.

Also check out the Least Common Multiple of 53380 and 53392