What is the Greatest Common Factor of 97232 and 97249?

Greatest common factor (GCF) of 97232 and 97249 is 1.

GCF(97232,97249) = 1

We will now calculate the prime factors of 97232 and 97249, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97232 and 97249.

How to find the GCF of 97232 and 97249?

We will first find the prime factorization of 97232 and 97249. After we will calculate the factors of 97232 and 97249 and find the biggest common factor number .

Step-1: Prime Factorization of 97232

Prime factors of 97232 are 2, 59, 103. Prime factorization of 97232 in exponential form is:

97232 = 2⁴ × 59¹ × 103¹

Step-2: Prime Factorization of 97249

Prime factors of 97249 are 79, 1231. Prime factorization of 97249 in exponential form is:

97249 = 79¹ × 1231¹

Step-3: Factors of 97232

List of positive integer factors of 97232 that divides 97232 without a remainder.

1, 2, 4, 8, 16, 59, 103, 118, 206, 236, 412, 472, 824, 944, 1648, 6077, 12154, 24308, 48616

Step-4: Factors of 97249

List of positive integer factors of 97249 that divides 97232 without a remainder.

1, 79, 1231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97232 and 97249. The biggest common factor number is the GCF number.
So the greatest common factor 97232 and 97249 is 1.

Also check out the Least Common Multiple of 97232 and 97249