What is the Greatest Common Factor of 84010 and 84014?

Greatest common factor (GCF) of 84010 and 84014 is 2.

GCF(84010,84014) = 2

We will now calculate the prime factors of 84010 and 84014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84010 and 84014.

How to find the GCF of 84010 and 84014?

We will first find the prime factorization of 84010 and 84014. After we will calculate the factors of 84010 and 84014 and find the biggest common factor number .

Step-1: Prime Factorization of 84010

Prime factors of 84010 are 2, 5, 31, 271. Prime factorization of 84010 in exponential form is:

84010 = 2¹ × 5¹ × 31¹ × 271¹

Step-2: Prime Factorization of 84014

Prime factors of 84014 are 2, 7, 17, 353. Prime factorization of 84014 in exponential form is:

84014 = 2¹ × 7¹ × 17¹ × 353¹

Step-3: Factors of 84010

List of positive integer factors of 84010 that divides 84010 without a remainder.

1, 2, 5, 10, 31, 62, 155, 271, 310, 542, 1355, 2710, 8401, 16802, 42005

Step-4: Factors of 84014

List of positive integer factors of 84014 that divides 84010 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238, 353, 706, 2471, 4942, 6001, 12002, 42007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84010 and 84014. The biggest common factor number is the GCF number.
So the greatest common factor 84010 and 84014 is 2.

Also check out the Least Common Multiple of 84010 and 84014