What is the Greatest Common Factor of 15074 and 15080?

Greatest common factor (GCF) of 15074 and 15080 is 2.

GCF(15074,15080) = 2

We will now calculate the prime factors of 15074 and 15080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15074 and 15080.

How to find the GCF of 15074 and 15080?

We will first find the prime factorization of 15074 and 15080. After we will calculate the factors of 15074 and 15080 and find the biggest common factor number .

Step-1: Prime Factorization of 15074

Prime factors of 15074 are 2, 7537. Prime factorization of 15074 in exponential form is:

15074 = 2¹ × 7537¹

Step-2: Prime Factorization of 15080

Prime factors of 15080 are 2, 5, 13, 29. Prime factorization of 15080 in exponential form is:

15080 = 2³ × 5¹ × 13¹ × 29¹

Step-3: Factors of 15074

List of positive integer factors of 15074 that divides 15074 without a remainder.

1, 2, 7537

Step-4: Factors of 15080

List of positive integer factors of 15080 that divides 15074 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 29, 40, 52, 58, 65, 104, 116, 130, 145, 232, 260, 290, 377, 520, 580, 754, 1160, 1508, 1885, 3016, 3770, 7540

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15074 and 15080. The biggest common factor number is the GCF number.
So the greatest common factor 15074 and 15080 is 2.

Also check out the Least Common Multiple of 15074 and 15080