What is the Greatest Common Factor of 15262 and 15274?

Greatest common factor (GCF) of 15262 and 15274 is 2.

GCF(15262,15274) = 2

We will now calculate the prime factors of 15262 and 15274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15262 and 15274.

How to find the GCF of 15262 and 15274?

We will first find the prime factorization of 15262 and 15274. After we will calculate the factors of 15262 and 15274 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 15274

Prime factors of 15274 are 2, 7, 1091. Prime factorization of 15274 in exponential form is:

15274 = 2¹ × 7¹ × 1091¹

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 15274

List of positive integer factors of 15274 that divides 15262 without a remainder.

1, 2, 7, 14, 1091, 2182, 7637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15262 and 15274. The biggest common factor number is the GCF number.
So the greatest common factor 15262 and 15274 is 2.

Also check out the Least Common Multiple of 15262 and 15274