What is the Greatest Common Factor of 469 and 478?

Greatest common factor (GCF) of 469 and 478 is 1.

GCF(469,478) = 1

We will now calculate the prime factors of 469 and 478, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 469 and 478.

How to find the GCF of 469 and 478?

We will first find the prime factorization of 469 and 478. After we will calculate the factors of 469 and 478 and find the biggest common factor number .

Step-1: Prime Factorization of 469

Prime factors of 469 are 7, 67. Prime factorization of 469 in exponential form is:

469 = 7¹ × 67¹

Step-2: Prime Factorization of 478

Prime factors of 478 are 2, 239. Prime factorization of 478 in exponential form is:

478 = 2¹ × 239¹

Step-3: Factors of 469

List of positive integer factors of 469 that divides 469 without a remainder.

1, 7, 67

Step-4: Factors of 478

List of positive integer factors of 478 that divides 469 without a remainder.

1, 2, 239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 469 and 478. The biggest common factor number is the GCF number.
So the greatest common factor 469 and 478 is 1.

Also check out the Least Common Multiple of 469 and 478