What is the Greatest Common Factor of 98490 and 98504?

Greatest common factor (GCF) of 98490 and 98504 is 14.

GCF(98490,98504) = 14

We will now calculate the prime factors of 98490 and 98504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98490 and 98504.

How to find the GCF of 98490 and 98504?

We will first find the prime factorization of 98490 and 98504. After we will calculate the factors of 98490 and 98504 and find the biggest common factor number .

Step-1: Prime Factorization of 98490

Prime factors of 98490 are 2, 3, 5, 7, 67. Prime factorization of 98490 in exponential form is:

98490 = 2¹ × 3¹ × 5¹ × 7² × 67¹

Step-2: Prime Factorization of 98504

Prime factors of 98504 are 2, 7, 1759. Prime factorization of 98504 in exponential form is:

98504 = 2³ × 7¹ × 1759¹

Step-3: Factors of 98490

List of positive integer factors of 98490 that divides 98490 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 49, 67, 70, 98, 105, 134, 147, 201, 210, 245, 294, 335, 402, 469, 490, 670, 735, 938, 1005, 1407, 1470, 2010, 2345, 2814, 3283, 4690, 6566, 7035, 9849, 14070, 16415, 19698, 32830, 49245

Step-4: Factors of 98504

List of positive integer factors of 98504 that divides 98490 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1759, 3518, 7036, 12313, 14072, 24626, 49252

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98490 and 98504. The biggest common factor number is the GCF number.
So the greatest common factor 98490 and 98504 is 14.

Also check out the Least Common Multiple of 98490 and 98504