What is the Greatest Common Factor of 22064 and 22071?

Greatest common factor (GCF) of 22064 and 22071 is 7.

GCF(22064,22071) = 7

We will now calculate the prime factors of 22064 and 22071, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22064 and 22071.

How to find the GCF of 22064 and 22071?

We will first find the prime factorization of 22064 and 22071. After we will calculate the factors of 22064 and 22071 and find the biggest common factor number .

Step-1: Prime Factorization of 22064

Prime factors of 22064 are 2, 7, 197. Prime factorization of 22064 in exponential form is:

22064 = 2⁴ × 7¹ × 197¹

Step-2: Prime Factorization of 22071

Prime factors of 22071 are 3, 7, 1051. Prime factorization of 22071 in exponential form is:

22071 = 3¹ × 7¹ × 1051¹

Step-3: Factors of 22064

List of positive integer factors of 22064 that divides 22064 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 197, 394, 788, 1379, 1576, 2758, 3152, 5516, 11032

Step-4: Factors of 22071

List of positive integer factors of 22071 that divides 22064 without a remainder.

1, 3, 7, 21, 1051, 3153, 7357

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22064 and 22071. The biggest common factor number is the GCF number.
So the greatest common factor 22064 and 22071 is 7.

Also check out the Least Common Multiple of 22064 and 22071