What is the Greatest Common Factor of 96215 and 96224?

Greatest common factor (GCF) of 96215 and 96224 is 1.

GCF(96215,96224) = 1

We will now calculate the prime factors of 96215 and 96224, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96215 and 96224.

How to find the GCF of 96215 and 96224?

We will first find the prime factorization of 96215 and 96224. After we will calculate the factors of 96215 and 96224 and find the biggest common factor number .

Step-1: Prime Factorization of 96215

Prime factors of 96215 are 5, 7, 2749. Prime factorization of 96215 in exponential form is:

96215 = 5¹ × 7¹ × 2749¹

Step-2: Prime Factorization of 96224

Prime factors of 96224 are 2, 31, 97. Prime factorization of 96224 in exponential form is:

96224 = 2⁵ × 31¹ × 97¹

Step-3: Factors of 96215

List of positive integer factors of 96215 that divides 96215 without a remainder.

1, 5, 7, 35, 2749, 13745, 19243

Step-4: Factors of 96224

List of positive integer factors of 96224 that divides 96215 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 97, 124, 194, 248, 388, 496, 776, 992, 1552, 3007, 3104, 6014, 12028, 24056, 48112

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96215 and 96224. The biggest common factor number is the GCF number.
So the greatest common factor 96215 and 96224 is 1.

Also check out the Least Common Multiple of 96215 and 96224