What is the Greatest Common Factor of 48254 and 48262?

Greatest common factor (GCF) of 48254 and 48262 is 2.

GCF(48254,48262) = 2

We will now calculate the prime factors of 48254 and 48262, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48254 and 48262.

How to find the GCF of 48254 and 48262?

We will first find the prime factorization of 48254 and 48262. After we will calculate the factors of 48254 and 48262 and find the biggest common factor number .

Step-1: Prime Factorization of 48254

Prime factors of 48254 are 2, 23, 1049. Prime factorization of 48254 in exponential form is:

48254 = 2¹ × 23¹ × 1049¹

Step-2: Prime Factorization of 48262

Prime factors of 48262 are 2, 59, 409. Prime factorization of 48262 in exponential form is:

48262 = 2¹ × 59¹ × 409¹

Step-3: Factors of 48254

List of positive integer factors of 48254 that divides 48254 without a remainder.

1, 2, 23, 46, 1049, 2098, 24127

Step-4: Factors of 48262

List of positive integer factors of 48262 that divides 48254 without a remainder.

1, 2, 59, 118, 409, 818, 24131

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48254 and 48262. The biggest common factor number is the GCF number.
So the greatest common factor 48254 and 48262 is 2.

Also check out the Least Common Multiple of 48254 and 48262