What is the Greatest Common Factor of 69412 and 69428?

Greatest common factor (GCF) of 69412 and 69428 is 4.

GCF(69412,69428) = 4

We will now calculate the prime factors of 69412 and 69428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69412 and 69428.

How to find the GCF of 69412 and 69428?

We will first find the prime factorization of 69412 and 69428. After we will calculate the factors of 69412 and 69428 and find the biggest common factor number .

Step-1: Prime Factorization of 69412

Prime factors of 69412 are 2, 7, 37, 67. Prime factorization of 69412 in exponential form is:

69412 = 2² × 7¹ × 37¹ × 67¹

Step-2: 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-3: Factors of 69412

List of positive integer factors of 69412 that divides 69412 without a remainder.

1, 2, 4, 7, 14, 28, 37, 67, 74, 134, 148, 259, 268, 469, 518, 938, 1036, 1876, 2479, 4958, 9916, 17353, 34706

Step-4: Factors of 69428

List of positive integer factors of 69428 that divides 69412 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69412 and 69428. The biggest common factor number is the GCF number.
So the greatest common factor 69412 and 69428 is 4.

Also check out the Least Common Multiple of 69412 and 69428