What is the Greatest Common Factor of 21235 and 21251?

Greatest common factor (GCF) of 21235 and 21251 is 1.

GCF(21235,21251) = 1

We will now calculate the prime factors of 21235 and 21251, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21235 and 21251.

How to find the GCF of 21235 and 21251?

We will first find the prime factorization of 21235 and 21251. After we will calculate the factors of 21235 and 21251 and find the biggest common factor number .

Step-1: Prime Factorization of 21235

Prime factors of 21235 are 5, 31, 137. Prime factorization of 21235 in exponential form is:

21235 = 5¹ × 31¹ × 137¹

Step-2: Prime Factorization of 21251

Prime factors of 21251 are 79, 269. Prime factorization of 21251 in exponential form is:

21251 = 79¹ × 269¹

Step-3: Factors of 21235

List of positive integer factors of 21235 that divides 21235 without a remainder.

1, 5, 31, 137, 155, 685, 4247

Step-4: Factors of 21251

List of positive integer factors of 21251 that divides 21235 without a remainder.

1, 79, 269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21235 and 21251. The biggest common factor number is the GCF number.
So the greatest common factor 21235 and 21251 is 1.

Also check out the Least Common Multiple of 21235 and 21251