What is the Greatest Common Factor of 15112 and 15130?

Greatest common factor (GCF) of 15112 and 15130 is 2.

GCF(15112,15130) = 2

We will now calculate the prime factors of 15112 and 15130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15112 and 15130.

How to find the GCF of 15112 and 15130?

We will first find the prime factorization of 15112 and 15130. After we will calculate the factors of 15112 and 15130 and find the biggest common factor number .

Step-1: Prime Factorization of 15112

Prime factors of 15112 are 2, 1889. Prime factorization of 15112 in exponential form is:

15112 = 2³ × 1889¹

Step-2: Prime Factorization of 15130

Prime factors of 15130 are 2, 5, 17, 89. Prime factorization of 15130 in exponential form is:

15130 = 2¹ × 5¹ × 17¹ × 89¹

Step-3: Factors of 15112

List of positive integer factors of 15112 that divides 15112 without a remainder.

1, 2, 4, 8, 1889, 3778, 7556

Step-4: Factors of 15130

List of positive integer factors of 15130 that divides 15112 without a remainder.

1, 2, 5, 10, 17, 34, 85, 89, 170, 178, 445, 890, 1513, 3026, 7565

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15112 and 15130. The biggest common factor number is the GCF number.
So the greatest common factor 15112 and 15130 is 2.

Also check out the Least Common Multiple of 15112 and 15130