What is the Greatest Common Factor of 22069 and 22074?

Greatest common factor (GCF) of 22069 and 22074 is 1.

GCF(22069,22074) = 1

We will now calculate the prime factors of 22069 and 22074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22069 and 22074.

How to find the GCF of 22069 and 22074?

We will first find the prime factorization of 22069 and 22074. After we will calculate the factors of 22069 and 22074 and find the biggest common factor number .

Step-1: Prime Factorization of 22069

Prime factors of 22069 are 29, 761. Prime factorization of 22069 in exponential form is:

22069 = 29¹ × 761¹

Step-2: Prime Factorization of 22074

Prime factors of 22074 are 2, 3, 13, 283. Prime factorization of 22074 in exponential form is:

22074 = 2¹ × 3¹ × 13¹ × 283¹

Step-3: Factors of 22069

List of positive integer factors of 22069 that divides 22069 without a remainder.

1, 29, 761

Step-4: Factors of 22074

List of positive integer factors of 22074 that divides 22069 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 283, 566, 849, 1698, 3679, 7358, 11037

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22069 and 22074. The biggest common factor number is the GCF number.
So the greatest common factor 22069 and 22074 is 1.

Also check out the Least Common Multiple of 22069 and 22074