What is the Greatest Common Factor of 97242 and 97251?

Greatest common factor (GCF) of 97242 and 97251 is 3.

GCF(97242,97251) = 3

We will now calculate the prime factors of 97242 and 97251, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97242 and 97251.

How to find the GCF of 97242 and 97251?

We will first find the prime factorization of 97242 and 97251. After we will calculate the factors of 97242 and 97251 and find the biggest common factor number .

Step-1: Prime Factorization of 97242

Prime factors of 97242 are 2, 3, 19, 853. Prime factorization of 97242 in exponential form is:

97242 = 2¹ × 3¹ × 19¹ × 853¹

Step-2: Prime Factorization of 97251

Prime factors of 97251 are 3, 7, 11, 421. Prime factorization of 97251 in exponential form is:

97251 = 3¹ × 7¹ × 11¹ × 421¹

Step-3: Factors of 97242

List of positive integer factors of 97242 that divides 97242 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 853, 1706, 2559, 5118, 16207, 32414, 48621

Step-4: Factors of 97251

List of positive integer factors of 97251 that divides 97242 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231, 421, 1263, 2947, 4631, 8841, 13893, 32417

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97242 and 97251. The biggest common factor number is the GCF number.
So the greatest common factor 97242 and 97251 is 3.

Also check out the Least Common Multiple of 97242 and 97251