What is the Greatest Common Factor of 76419 and 76433?

Greatest common factor (GCF) of 76419 and 76433 is 7.

GCF(76419,76433) = 7

We will now calculate the prime factors of 76419 and 76433, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76419 and 76433.

How to find the GCF of 76419 and 76433?

We will first find the prime factorization of 76419 and 76433. After we will calculate the factors of 76419 and 76433 and find the biggest common factor number .

Step-1: Prime Factorization of 76419

Prime factors of 76419 are 3, 7, 1213. Prime factorization of 76419 in exponential form is:

76419 = 3² × 7¹ × 1213¹

Step-2: Prime Factorization of 76433

Prime factors of 76433 are 7, 61, 179. Prime factorization of 76433 in exponential form is:

76433 = 7¹ × 61¹ × 179¹

Step-3: Factors of 76419

List of positive integer factors of 76419 that divides 76419 without a remainder.

1, 3, 7, 9, 21, 63, 1213, 3639, 8491, 10917, 25473

Step-4: Factors of 76433

List of positive integer factors of 76433 that divides 76419 without a remainder.

1, 7, 61, 179, 427, 1253, 10919

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76419 and 76433. The biggest common factor number is the GCF number.
So the greatest common factor 76419 and 76433 is 7.

Also check out the Least Common Multiple of 76419 and 76433