What is the Greatest Common Factor of 21147 and 21167?

Greatest common factor (GCF) of 21147 and 21167 is 1.

GCF(21147,21167) = 1

We will now calculate the prime factors of 21147 and 21167, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21147 and 21167.

How to find the GCF of 21147 and 21167?

We will first find the prime factorization of 21147 and 21167. After we will calculate the factors of 21147 and 21167 and find the biggest common factor number .

Step-1: Prime Factorization of 21147

Prime factors of 21147 are 3, 7, 19, 53. Prime factorization of 21147 in exponential form is:

21147 = 3¹ × 7¹ × 19¹ × 53¹

Step-2: Prime Factorization of 21167

Prime factors of 21167 are 61, 347. Prime factorization of 21167 in exponential form is:

21167 = 61¹ × 347¹

Step-3: Factors of 21147

List of positive integer factors of 21147 that divides 21147 without a remainder.

1, 3, 7, 19, 21, 53, 57, 133, 159, 371, 399, 1007, 1113, 3021, 7049

Step-4: Factors of 21167

List of positive integer factors of 21167 that divides 21147 without a remainder.

1, 61, 347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21147 and 21167. The biggest common factor number is the GCF number.
So the greatest common factor 21147 and 21167 is 1.

Also check out the Least Common Multiple of 21147 and 21167