What is the Greatest Common Factor of 98476 and 98490?

Greatest common factor (GCF) of 98476 and 98490 is 14.

GCF(98476,98490) = 14

We will now calculate the prime factors of 98476 and 98490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98476 and 98490.

How to find the GCF of 98476 and 98490?

We will first find the prime factorization of 98476 and 98490. After we will calculate the factors of 98476 and 98490 and find the biggest common factor number .

Step-1: Prime Factorization of 98476

Prime factors of 98476 are 2, 7, 3517. Prime factorization of 98476 in exponential form is:

98476 = 2² × 7¹ × 3517¹

Step-2: 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-3: Factors of 98476

List of positive integer factors of 98476 that divides 98476 without a remainder.

1, 2, 4, 7, 14, 28, 3517, 7034, 14068, 24619, 49238

Step-4: Factors of 98490

List of positive integer factors of 98490 that divides 98476 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98476 and 98490. The biggest common factor number is the GCF number.
So the greatest common factor 98476 and 98490 is 14.

Also check out the Least Common Multiple of 98476 and 98490