What is the Greatest Common Factor of 97232 and 97242?

Greatest common factor (GCF) of 97232 and 97242 is 2.

GCF(97232,97242) = 2

We will now calculate the prime factors of 97232 and 97242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97232 and 97242.

How to find the GCF of 97232 and 97242?

We will first find the prime factorization of 97232 and 97242. After we will calculate the factors of 97232 and 97242 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 97242

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

97242 = 2¹ × 3¹ × 19¹ × 853¹

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 97242

List of positive integer factors of 97242 that divides 97232 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97232 and 97242. The biggest common factor number is the GCF number.
So the greatest common factor 97232 and 97242 is 2.

Also check out the Least Common Multiple of 97232 and 97242