What is the Greatest Common Factor of 21770 and 21787?

Greatest common factor (GCF) of 21770 and 21787 is 1.

GCF(21770,21787) = 1

We will now calculate the prime factors of 21770 and 21787, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21770 and 21787.

How to find the GCF of 21770 and 21787?

We will first find the prime factorization of 21770 and 21787. After we will calculate the factors of 21770 and 21787 and find the biggest common factor number .

Step-1: Prime Factorization of 21770

Prime factors of 21770 are 2, 5, 7, 311. Prime factorization of 21770 in exponential form is:

21770 = 2¹ × 5¹ × 7¹ × 311¹

Step-2: Prime Factorization of 21787

Prime factors of 21787 are 21787. Prime factorization of 21787 in exponential form is:

21787 = 21787¹

Step-3: Factors of 21770

List of positive integer factors of 21770 that divides 21770 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 311, 622, 1555, 2177, 3110, 4354, 10885

Step-4: Factors of 21787

List of positive integer factors of 21787 that divides 21770 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21770 and 21787. The biggest common factor number is the GCF number.
So the greatest common factor 21770 and 21787 is 1.

Also check out the Least Common Multiple of 21770 and 21787