What is the Greatest Common Factor of 70210 and 70230?

Greatest common factor (GCF) of 70210 and 70230 is 10.

GCF(70210,70230) = 10

We will now calculate the prime factors of 70210 and 70230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70210 and 70230.

How to find the GCF of 70210 and 70230?

We will first find the prime factorization of 70210 and 70230. After we will calculate the factors of 70210 and 70230 and find the biggest common factor number .

Step-1: Prime Factorization of 70210

Prime factors of 70210 are 2, 5, 7, 17, 59. Prime factorization of 70210 in exponential form is:

70210 = 2¹ × 5¹ × 7¹ × 17¹ × 59¹

Step-2: Prime Factorization of 70230

Prime factors of 70230 are 2, 3, 5, 2341. Prime factorization of 70230 in exponential form is:

70230 = 2¹ × 3¹ × 5¹ × 2341¹

Step-3: Factors of 70210

List of positive integer factors of 70210 that divides 70210 without a remainder.

1, 2, 5, 7, 10, 14, 17, 34, 35, 59, 70, 85, 118, 119, 170, 238, 295, 413, 590, 595, 826, 1003, 1190, 2006, 2065, 4130, 5015, 7021, 10030, 14042, 35105

Step-4: Factors of 70230

List of positive integer factors of 70230 that divides 70210 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2341, 4682, 7023, 11705, 14046, 23410, 35115

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70210 and 70230. The biggest common factor number is the GCF number.
So the greatest common factor 70210 and 70230 is 10.

Also check out the Least Common Multiple of 70210 and 70230