What is the Greatest Common Factor of 63190 and 63210?

Greatest common factor (GCF) of 63190 and 63210 is 10.

GCF(63190,63210) = 10

We will now calculate the prime factors of 63190 and 63210, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63190 and 63210.

How to find the GCF of 63190 and 63210?

We will first find the prime factorization of 63190 and 63210. After we will calculate the factors of 63190 and 63210 and find the biggest common factor number .

Step-1: Prime Factorization of 63190

Prime factors of 63190 are 2, 5, 71, 89. Prime factorization of 63190 in exponential form is:

63190 = 2¹ × 5¹ × 71¹ × 89¹

Step-2: Prime Factorization of 63210

Prime factors of 63210 are 2, 3, 5, 7, 43. Prime factorization of 63210 in exponential form is:

63210 = 2¹ × 3¹ × 5¹ × 7² × 43¹

Step-3: Factors of 63190

List of positive integer factors of 63190 that divides 63190 without a remainder.

1, 2, 5, 10, 71, 89, 142, 178, 355, 445, 710, 890, 6319, 12638, 31595

Step-4: Factors of 63210

List of positive integer factors of 63210 that divides 63190 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 43, 49, 70, 86, 98, 105, 129, 147, 210, 215, 245, 258, 294, 301, 430, 490, 602, 645, 735, 903, 1290, 1470, 1505, 1806, 2107, 3010, 4214, 4515, 6321, 9030, 10535, 12642, 21070, 31605

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63190 and 63210. The biggest common factor number is the GCF number.
So the greatest common factor 63190 and 63210 is 10.

Also check out the Least Common Multiple of 63190 and 63210