What is the Greatest Common Factor of 15262 and 15278?

Greatest common factor (GCF) of 15262 and 15278 is 2.

GCF(15262,15278) = 2

We will now calculate the prime factors of 15262 and 15278, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15262 and 15278.

How to find the GCF of 15262 and 15278?

We will first find the prime factorization of 15262 and 15278. After we will calculate the factors of 15262 and 15278 and find the biggest common factor number .

Step-1: Prime Factorization of 15262

Prime factors of 15262 are 2, 13, 587. Prime factorization of 15262 in exponential form is:

15262 = 2¹ × 13¹ × 587¹

Step-2: Prime Factorization of 15278

Prime factors of 15278 are 2, 7639. Prime factorization of 15278 in exponential form is:

15278 = 2¹ × 7639¹

Step-3: Factors of 15262

List of positive integer factors of 15262 that divides 15262 without a remainder.

1, 2, 13, 26, 587, 1174, 7631

Step-4: Factors of 15278

List of positive integer factors of 15278 that divides 15262 without a remainder.

1, 2, 7639

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15262 and 15278. The biggest common factor number is the GCF number.
So the greatest common factor 15262 and 15278 is 2.

Also check out the Least Common Multiple of 15262 and 15278