What is the Greatest Common Factor of 69392 and 69410?

Greatest common factor (GCF) of 69392 and 69410 is 2.

GCF(69392,69410) = 2

We will now calculate the prime factors of 69392 and 69410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69392 and 69410.

How to find the GCF of 69392 and 69410?

We will first find the prime factorization of 69392 and 69410. After we will calculate the factors of 69392 and 69410 and find the biggest common factor number .

Step-1: Prime Factorization of 69392

Prime factors of 69392 are 2, 4337. Prime factorization of 69392 in exponential form is:

69392 = 2⁴ × 4337¹

Step-2: 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-3: Factors of 69392

List of positive integer factors of 69392 that divides 69392 without a remainder.

1, 2, 4, 8, 16, 4337, 8674, 17348, 34696

Step-4: Factors of 69410

List of positive integer factors of 69410 that divides 69392 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69392 and 69410. The biggest common factor number is the GCF number.
So the greatest common factor 69392 and 69410 is 2.

Also check out the Least Common Multiple of 69392 and 69410