What is the Greatest Common Factor of 62258 and 62268?

Greatest common factor (GCF) of 62258 and 62268 is 2.

GCF(62258,62268) = 2

We will now calculate the prime factors of 62258 and 62268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62258 and 62268.

How to find the GCF of 62258 and 62268?

We will first find the prime factorization of 62258 and 62268. After we will calculate the factors of 62258 and 62268 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 62268

Prime factors of 62268 are 2, 3, 5189. Prime factorization of 62268 in exponential form is:

62268 = 2² × 3¹ × 5189¹

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 62268

List of positive integer factors of 62268 that divides 62258 without a remainder.

1, 2, 3, 4, 6, 12, 5189, 10378, 15567, 20756, 31134

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62258 and 62268. The biggest common factor number is the GCF number.
So the greatest common factor 62258 and 62268 is 2.

Also check out the Least Common Multiple of 62258 and 62268