What is the Greatest Common Factor of 21340 and 21352?

Greatest common factor (GCF) of 21340 and 21352 is 4.

GCF(21340,21352) = 4

We will now calculate the prime factors of 21340 and 21352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21340 and 21352.

How to find the GCF of 21340 and 21352?

We will first find the prime factorization of 21340 and 21352. After we will calculate the factors of 21340 and 21352 and find the biggest common factor number .

Step-1: Prime Factorization of 21340

Prime factors of 21340 are 2, 5, 11, 97. Prime factorization of 21340 in exponential form is:

21340 = 2² × 5¹ × 11¹ × 97¹

Step-2: Prime Factorization of 21352

Prime factors of 21352 are 2, 17, 157. Prime factorization of 21352 in exponential form is:

21352 = 2³ × 17¹ × 157¹

Step-3: Factors of 21340

List of positive integer factors of 21340 that divides 21340 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 97, 110, 194, 220, 388, 485, 970, 1067, 1940, 2134, 4268, 5335, 10670

Step-4: Factors of 21352

List of positive integer factors of 21352 that divides 21340 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 157, 314, 628, 1256, 2669, 5338, 10676

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21340 and 21352. The biggest common factor number is the GCF number.
So the greatest common factor 21340 and 21352 is 4.

Also check out the Least Common Multiple of 21340 and 21352