What is the Greatest Common Factor of 69428 and 69442?

Greatest common factor (GCF) of 69428 and 69442 is 2.

GCF(69428,69442) = 2

We will now calculate the prime factors of 69428 and 69442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69428 and 69442.

How to find the GCF of 69428 and 69442?

We will first find the prime factorization of 69428 and 69442. After we will calculate the factors of 69428 and 69442 and find the biggest common factor number .

Step-1: Prime Factorization of 69428

Prime factors of 69428 are 2, 17, 1021. Prime factorization of 69428 in exponential form is:

69428 = 2² × 17¹ × 1021¹

Step-2: Prime Factorization of 69442

Prime factors of 69442 are 2, 34721. Prime factorization of 69442 in exponential form is:

69442 = 2¹ × 34721¹

Step-3: Factors of 69428

List of positive integer factors of 69428 that divides 69428 without a remainder.

1, 2, 4, 17, 34, 68, 1021, 2042, 4084, 17357, 34714

Step-4: Factors of 69442

List of positive integer factors of 69442 that divides 69428 without a remainder.

1, 2, 34721

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69428 and 69442. The biggest common factor number is the GCF number.
So the greatest common factor 69428 and 69442 is 2.

Also check out the Least Common Multiple of 69428 and 69442