What is the Greatest Common Factor of 69414 and 69422?

Greatest common factor (GCF) of 69414 and 69422 is 2.

GCF(69414,69422) = 2

We will now calculate the prime factors of 69414 and 69422, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69414 and 69422.

How to find the GCF of 69414 and 69422?

We will first find the prime factorization of 69414 and 69422. After we will calculate the factors of 69414 and 69422 and find the biggest common factor number .

Step-1: Prime Factorization of 69414

Prime factors of 69414 are 2, 3, 23, 503. Prime factorization of 69414 in exponential form is:

69414 = 2¹ × 3¹ × 23¹ × 503¹

Step-2: Prime Factorization of 69422

Prime factors of 69422 are 2, 103, 337. Prime factorization of 69422 in exponential form is:

69422 = 2¹ × 103¹ × 337¹

Step-3: Factors of 69414

List of positive integer factors of 69414 that divides 69414 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 503, 1006, 1509, 3018, 11569, 23138, 34707

Step-4: Factors of 69422

List of positive integer factors of 69422 that divides 69414 without a remainder.

1, 2, 103, 206, 337, 674, 34711

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69414 and 69422. The biggest common factor number is the GCF number.
So the greatest common factor 69414 and 69422 is 2.

Also check out the Least Common Multiple of 69414 and 69422