What is the Greatest Common Factor of 98215 and 98224?

Greatest common factor (GCF) of 98215 and 98224 is 1.

GCF(98215,98224) = 1

We will now calculate the prime factors of 98215 and 98224, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98215 and 98224.

How to find the GCF of 98215 and 98224?

We will first find the prime factorization of 98215 and 98224. After we will calculate the factors of 98215 and 98224 and find the biggest common factor number .

Step-1: Prime Factorization of 98215

Prime factors of 98215 are 5, 13, 1511. Prime factorization of 98215 in exponential form is:

98215 = 5¹ × 13¹ × 1511¹

Step-2: Prime Factorization of 98224

Prime factors of 98224 are 2, 7, 877. Prime factorization of 98224 in exponential form is:

98224 = 2⁴ × 7¹ × 877¹

Step-3: Factors of 98215

List of positive integer factors of 98215 that divides 98215 without a remainder.

1, 5, 13, 65, 1511, 7555, 19643

Step-4: Factors of 98224

List of positive integer factors of 98224 that divides 98215 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 877, 1754, 3508, 6139, 7016, 12278, 14032, 24556, 49112

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98215 and 98224. The biggest common factor number is the GCF number.
So the greatest common factor 98215 and 98224 is 1.

Also check out the Least Common Multiple of 98215 and 98224