What is the Greatest Common Factor of 98210 and 98228?

Greatest common factor (GCF) of 98210 and 98228 is 2.

GCF(98210,98228) = 2

We will now calculate the prime factors of 98210 and 98228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98210 and 98228.

How to find the GCF of 98210 and 98228?

We will first find the prime factorization of 98210 and 98228. After we will calculate the factors of 98210 and 98228 and find the biggest common factor number .

Step-1: Prime Factorization of 98210

Prime factors of 98210 are 2, 5, 7, 23, 61. Prime factorization of 98210 in exponential form is:

98210 = 2¹ × 5¹ × 7¹ × 23¹ × 61¹

Step-2: Prime Factorization of 98228

Prime factors of 98228 are 2, 13, 1889. Prime factorization of 98228 in exponential form is:

98228 = 2² × 13¹ × 1889¹

Step-3: Factors of 98210

List of positive integer factors of 98210 that divides 98210 without a remainder.

1, 2, 5, 7, 10, 14, 23, 35, 46, 61, 70, 115, 122, 161, 230, 305, 322, 427, 610, 805, 854, 1403, 1610, 2135, 2806, 4270, 7015, 9821, 14030, 19642, 49105

Step-4: Factors of 98228

List of positive integer factors of 98228 that divides 98210 without a remainder.

1, 2, 4, 13, 26, 52, 1889, 3778, 7556, 24557, 49114

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98210 and 98228. The biggest common factor number is the GCF number.
So the greatest common factor 98210 and 98228 is 2.

Also check out the Least Common Multiple of 98210 and 98228