What is the Greatest Common Factor of 98210 and 98220?

Greatest common factor (GCF) of 98210 and 98220 is 10.

GCF(98210,98220) = 10

We will now calculate the prime factors of 98210 and 98220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98210 and 98220.

How to find the GCF of 98210 and 98220?

We will first find the prime factorization of 98210 and 98220. After we will calculate the factors of 98210 and 98220 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 98220

Prime factors of 98220 are 2, 3, 5, 1637. Prime factorization of 98220 in exponential form is:

98220 = 2² × 3¹ × 5¹ × 1637¹

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 98220

List of positive integer factors of 98220 that divides 98210 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1637, 3274, 4911, 6548, 8185, 9822, 16370, 19644, 24555, 32740, 49110

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98210 and 98220. The biggest common factor number is the GCF number.
So the greatest common factor 98210 and 98220 is 10.

Also check out the Least Common Multiple of 98210 and 98220