What is the Greatest Common Factor of 97464 and 97469?

Greatest common factor (GCF) of 97464 and 97469 is 1.

GCF(97464,97469) = 1

We will now calculate the prime factors of 97464 and 97469, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97464 and 97469.

How to find the GCF of 97464 and 97469?

We will first find the prime factorization of 97464 and 97469. After we will calculate the factors of 97464 and 97469 and find the biggest common factor number .

Step-1: Prime Factorization of 97464

Prime factors of 97464 are 2, 3, 31, 131. Prime factorization of 97464 in exponential form is:

97464 = 2³ × 3¹ × 31¹ × 131¹

Step-2: Prime Factorization of 97469

Prime factors of 97469 are 29, 3361. Prime factorization of 97469 in exponential form is:

97469 = 29¹ × 3361¹

Step-3: Factors of 97464

List of positive integer factors of 97464 that divides 97464 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 131, 186, 248, 262, 372, 393, 524, 744, 786, 1048, 1572, 3144, 4061, 8122, 12183, 16244, 24366, 32488, 48732

Step-4: Factors of 97469

List of positive integer factors of 97469 that divides 97464 without a remainder.

1, 29, 3361

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97464 and 97469. The biggest common factor number is the GCF number.
So the greatest common factor 97464 and 97469 is 1.

Also check out the Least Common Multiple of 97464 and 97469