What is the Greatest Common Factor of 97432 and 97451?

Greatest common factor (GCF) of 97432 and 97451 is 19.

GCF(97432,97451) = 19

We will now calculate the prime factors of 97432 and 97451, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97432 and 97451.

How to find the GCF of 97432 and 97451?

We will first find the prime factorization of 97432 and 97451. After we will calculate the factors of 97432 and 97451 and find the biggest common factor number .

Step-1: Prime Factorization of 97432

Prime factors of 97432 are 2, 19, 641. Prime factorization of 97432 in exponential form is:

97432 = 2³ × 19¹ × 641¹

Step-2: Prime Factorization of 97451

Prime factors of 97451 are 19, 23, 223. Prime factorization of 97451 in exponential form is:

97451 = 19¹ × 23¹ × 223¹

Step-3: Factors of 97432

List of positive integer factors of 97432 that divides 97432 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 641, 1282, 2564, 5128, 12179, 24358, 48716

Step-4: Factors of 97451

List of positive integer factors of 97451 that divides 97432 without a remainder.

1, 19, 23, 223, 437, 4237, 5129

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97432 and 97451. The biggest common factor number is the GCF number.
So the greatest common factor 97432 and 97451 is 19.

Also check out the Least Common Multiple of 97432 and 97451