What is the Greatest Common Factor of 97419 and 97434?

Greatest common factor (GCF) of 97419 and 97434 is 3.

GCF(97419,97434) = 3

We will now calculate the prime factors of 97419 and 97434, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97419 and 97434.

How to find the GCF of 97419 and 97434?

We will first find the prime factorization of 97419 and 97434. After we will calculate the factors of 97419 and 97434 and find the biggest common factor number .

Step-1: Prime Factorization of 97419

Prime factors of 97419 are 3, 7, 4639. Prime factorization of 97419 in exponential form is:

97419 = 3¹ × 7¹ × 4639¹

Step-2: Prime Factorization of 97434

Prime factors of 97434 are 2, 3, 5413. Prime factorization of 97434 in exponential form is:

97434 = 2¹ × 3² × 5413¹

Step-3: Factors of 97419

List of positive integer factors of 97419 that divides 97419 without a remainder.

1, 3, 7, 21, 4639, 13917, 32473

Step-4: Factors of 97434

List of positive integer factors of 97434 that divides 97419 without a remainder.

1, 2, 3, 6, 9, 18, 5413, 10826, 16239, 32478, 48717

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97419 and 97434. The biggest common factor number is the GCF number.
So the greatest common factor 97419 and 97434 is 3.

Also check out the Least Common Multiple of 97419 and 97434