What is the Greatest Common Factor of 15067 and 15080?

Greatest common factor (GCF) of 15067 and 15080 is 13.

GCF(15067,15080) = 13

We will now calculate the prime factors of 15067 and 15080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15067 and 15080.

How to find the GCF of 15067 and 15080?

We will first find the prime factorization of 15067 and 15080. After we will calculate the factors of 15067 and 15080 and find the biggest common factor number .

Step-1: Prime Factorization of 15067

Prime factors of 15067 are 13, 19, 61. Prime factorization of 15067 in exponential form is:

15067 = 13¹ × 19¹ × 61¹

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 15067

List of positive integer factors of 15067 that divides 15067 without a remainder.

1, 13, 19, 61, 247, 793, 1159

Step-4: Factors of 15080

List of positive integer factors of 15080 that divides 15067 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 15067 and 15080. The biggest common factor number is the GCF number.
So the greatest common factor 15067 and 15080 is 13.

Also check out the Least Common Multiple of 15067 and 15080