What is the Greatest Common Factor of 62258 and 62270?

Greatest common factor (GCF) of 62258 and 62270 is 2.

GCF(62258,62270) = 2

We will now calculate the prime factors of 62258 and 62270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62258 and 62270.

How to find the GCF of 62258 and 62270?

We will first find the prime factorization of 62258 and 62270. After we will calculate the factors of 62258 and 62270 and find the biggest common factor number .

Step-1: Prime Factorization of 62258

Prime factors of 62258 are 2, 7, 4447. Prime factorization of 62258 in exponential form is:

62258 = 2¹ × 7¹ × 4447¹

Step-2: Prime Factorization of 62270

Prime factors of 62270 are 2, 5, 13, 479. Prime factorization of 62270 in exponential form is:

62270 = 2¹ × 5¹ × 13¹ × 479¹

Step-3: Factors of 62258

List of positive integer factors of 62258 that divides 62258 without a remainder.

1, 2, 7, 14, 4447, 8894, 31129

Step-4: Factors of 62270

List of positive integer factors of 62270 that divides 62258 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 479, 958, 2395, 4790, 6227, 12454, 31135

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62258 and 62270. The biggest common factor number is the GCF number.
So the greatest common factor 62258 and 62270 is 2.

Also check out the Least Common Multiple of 62258 and 62270