What is the Greatest Common Factor of 96229 and 96240?

Greatest common factor (GCF) of 96229 and 96240 is 1.

GCF(96229,96240) = 1

We will now calculate the prime factors of 96229 and 96240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96229 and 96240.

How to find the GCF of 96229 and 96240?

We will first find the prime factorization of 96229 and 96240. After we will calculate the factors of 96229 and 96240 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 96240

Prime factors of 96240 are 2, 3, 5, 401. Prime factorization of 96240 in exponential form is:

96240 = 2⁴ × 3¹ × 5¹ × 401¹

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 96240

List of positive integer factors of 96240 that divides 96229 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240, 401, 802, 1203, 1604, 2005, 2406, 3208, 4010, 4812, 6015, 6416, 8020, 9624, 12030, 16040, 19248, 24060, 32080, 48120

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96229 and 96240. The biggest common factor number is the GCF number.
So the greatest common factor 96229 and 96240 is 1.

Also check out the Least Common Multiple of 96229 and 96240