What is the Greatest Common Factor of 70210 and 70214?

Greatest common factor (GCF) of 70210 and 70214 is 2.

GCF(70210,70214) = 2

We will now calculate the prime factors of 70210 and 70214, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70210 and 70214.

How to find the GCF of 70210 and 70214?

We will first find the prime factorization of 70210 and 70214. After we will calculate the factors of 70210 and 70214 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 70214

Prime factors of 70214 are 2, 35107. Prime factorization of 70214 in exponential form is:

70214 = 2¹ × 35107¹

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 70214

List of positive integer factors of 70214 that divides 70210 without a remainder.

1, 2, 35107

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70210 and 70214. The biggest common factor number is the GCF number.
So the greatest common factor 70210 and 70214 is 2.

Also check out the Least Common Multiple of 70210 and 70214