What is the Greatest Common Factor of 96229 and 96236?

Greatest common factor (GCF) of 96229 and 96236 is 7.

GCF(96229,96236) = 7

We will now calculate the prime factors of 96229 and 96236, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96229 and 96236.

How to find the GCF of 96229 and 96236?

We will first find the prime factorization of 96229 and 96236. After we will calculate the factors of 96229 and 96236 and find the biggest common factor number .

Step-1: Prime Factorization of 96229

Prime factors of 96229 are 7, 59, 233. Prime factorization of 96229 in exponential form is:

96229 = 7¹ × 59¹ × 233¹

Step-2: Prime Factorization of 96236

Prime factors of 96236 are 2, 7, 491. Prime factorization of 96236 in exponential form is:

96236 = 2² × 7² × 491¹

Step-3: Factors of 96229

List of positive integer factors of 96229 that divides 96229 without a remainder.

1, 7, 59, 233, 413, 1631, 13747

Step-4: Factors of 96236

List of positive integer factors of 96236 that divides 96229 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 491, 982, 1964, 3437, 6874, 13748, 24059, 48118

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96229 and 96236. The biggest common factor number is the GCF number.
So the greatest common factor 96229 and 96236 is 7.

Also check out the Least Common Multiple of 96229 and 96236