What is the Greatest Common Factor of 69410 and 69425?

Greatest common factor (GCF) of 69410 and 69425 is 5.

GCF(69410,69425) = 5

We will now calculate the prime factors of 69410 and 69425, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69410 and 69425.

How to find the GCF of 69410 and 69425?

We will first find the prime factorization of 69410 and 69425. After we will calculate the factors of 69410 and 69425 and find the biggest common factor number .

Step-1: Prime Factorization of 69410

Prime factors of 69410 are 2, 5, 11, 631. Prime factorization of 69410 in exponential form is:

69410 = 2¹ × 5¹ × 11¹ × 631¹

Step-2: Prime Factorization of 69425

Prime factors of 69425 are 5, 2777. Prime factorization of 69425 in exponential form is:

69425 = 5² × 2777¹

Step-3: Factors of 69410

List of positive integer factors of 69410 that divides 69410 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 631, 1262, 3155, 6310, 6941, 13882, 34705

Step-4: Factors of 69425

List of positive integer factors of 69425 that divides 69410 without a remainder.

1, 5, 25, 2777, 13885

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69410 and 69425. The biggest common factor number is the GCF number.
So the greatest common factor 69410 and 69425 is 5.

Also check out the Least Common Multiple of 69410 and 69425