What is the Greatest Common Factor of 62214 and 62230?

Greatest common factor (GCF) of 62214 and 62230 is 2.

GCF(62214,62230) = 2

We will now calculate the prime factors of 62214 and 62230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62214 and 62230.

How to find the GCF of 62214 and 62230?

We will first find the prime factorization of 62214 and 62230. After we will calculate the factors of 62214 and 62230 and find the biggest common factor number .

Step-1: Prime Factorization of 62214

Prime factors of 62214 are 2, 3, 10369. Prime factorization of 62214 in exponential form is:

62214 = 2¹ × 3¹ × 10369¹

Step-2: Prime Factorization of 62230

Prime factors of 62230 are 2, 5, 7, 127. Prime factorization of 62230 in exponential form is:

62230 = 2¹ × 5¹ × 7² × 127¹

Step-3: Factors of 62214

List of positive integer factors of 62214 that divides 62214 without a remainder.

1, 2, 3, 6, 10369, 20738, 31107

Step-4: Factors of 62230

List of positive integer factors of 62230 that divides 62214 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 127, 245, 254, 490, 635, 889, 1270, 1778, 4445, 6223, 8890, 12446, 31115

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62214 and 62230. The biggest common factor number is the GCF number.
So the greatest common factor 62214 and 62230 is 2.

Also check out the Least Common Multiple of 62214 and 62230