What is the Greatest Common Factor of 48262 and 48269?

Greatest common factor (GCF) of 48262 and 48269 is 1.

GCF(48262,48269) = 1

We will now calculate the prime factors of 48262 and 48269, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48262 and 48269.

How to find the GCF of 48262 and 48269?

We will first find the prime factorization of 48262 and 48269. After we will calculate the factors of 48262 and 48269 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 48269

Prime factors of 48269 are 13, 47, 79. Prime factorization of 48269 in exponential form is:

48269 = 13¹ × 47¹ × 79¹

Step-3: Factors of 48262

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

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

Step-4: Factors of 48269

List of positive integer factors of 48269 that divides 48262 without a remainder.

1, 13, 47, 79, 611, 1027, 3713

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48262 and 48269. The biggest common factor number is the GCF number.
So the greatest common factor 48262 and 48269 is 1.

Also check out the Least Common Multiple of 48262 and 48269