What is the Greatest Common Factor of 53380 and 53398?

Greatest common factor (GCF) of 53380 and 53398 is 2.

GCF(53380,53398) = 2

We will now calculate the prime factors of 53380 and 53398, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53380 and 53398.

How to find the GCF of 53380 and 53398?

We will first find the prime factorization of 53380 and 53398. After we will calculate the factors of 53380 and 53398 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 53398

Prime factors of 53398 are 2, 26699. Prime factorization of 53398 in exponential form is:

53398 = 2¹ × 26699¹

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 53398

List of positive integer factors of 53398 that divides 53380 without a remainder.

1, 2, 26699

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53380 and 53398. The biggest common factor number is the GCF number.
So the greatest common factor 53380 and 53398 is 2.

Also check out the Least Common Multiple of 53380 and 53398