What is the Greatest Common Factor of 69462 and 69478?

Greatest common factor (GCF) of 69462 and 69478 is 2.

GCF(69462,69478) = 2

We will now calculate the prime factors of 69462 and 69478, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69462 and 69478.

How to find the GCF of 69462 and 69478?

We will first find the prime factorization of 69462 and 69478. After we will calculate the factors of 69462 and 69478 and find the biggest common factor number .

Step-1: Prime Factorization of 69462

Prime factors of 69462 are 2, 3, 17, 227. Prime factorization of 69462 in exponential form is:

69462 = 2¹ × 3² × 17¹ × 227¹

Step-2: Prime Factorization of 69478

Prime factors of 69478 are 2, 34739. Prime factorization of 69478 in exponential form is:

69478 = 2¹ × 34739¹

Step-3: Factors of 69462

List of positive integer factors of 69462 that divides 69462 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 227, 306, 454, 681, 1362, 2043, 3859, 4086, 7718, 11577, 23154, 34731

Step-4: Factors of 69478

List of positive integer factors of 69478 that divides 69462 without a remainder.

1, 2, 34739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69462 and 69478. The biggest common factor number is the GCF number.
So the greatest common factor 69462 and 69478 is 2.

Also check out the Least Common Multiple of 69462 and 69478