What is the Greatest Common Factor of 70196 and 70210?

Greatest common factor (GCF) of 70196 and 70210 is 14.

GCF(70196,70210) = 14

We will now calculate the prime factors of 70196 and 70210, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70196 and 70210.

How to find the GCF of 70196 and 70210?

We will first find the prime factorization of 70196 and 70210. After we will calculate the factors of 70196 and 70210 and find the biggest common factor number .

Step-1: Prime Factorization of 70196

Prime factors of 70196 are 2, 7, 23, 109. Prime factorization of 70196 in exponential form is:

70196 = 2² × 7¹ × 23¹ × 109¹

Step-2: 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-3: Factors of 70196

List of positive integer factors of 70196 that divides 70196 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 109, 161, 218, 322, 436, 644, 763, 1526, 2507, 3052, 5014, 10028, 17549, 35098

Step-4: Factors of 70210

List of positive integer factors of 70210 that divides 70196 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70196 and 70210. The biggest common factor number is the GCF number.
So the greatest common factor 70196 and 70210 is 14.

Also check out the Least Common Multiple of 70196 and 70210