What is the Greatest Common Factor of 78015 and 78029?

Greatest common factor (GCF) of 78015 and 78029 is 7.

GCF(78015,78029) = 7

We will now calculate the prime factors of 78015 and 78029, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78015 and 78029.

How to find the GCF of 78015 and 78029?

We will first find the prime factorization of 78015 and 78029. After we will calculate the factors of 78015 and 78029 and find the biggest common factor number .

Step-1: Prime Factorization of 78015

Prime factors of 78015 are 3, 5, 7, 743. Prime factorization of 78015 in exponential form is:

78015 = 3¹ × 5¹ × 7¹ × 743¹

Step-2: Prime Factorization of 78029

Prime factors of 78029 are 7, 71, 157. Prime factorization of 78029 in exponential form is:

78029 = 7¹ × 71¹ × 157¹

Step-3: Factors of 78015

List of positive integer factors of 78015 that divides 78015 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 743, 2229, 3715, 5201, 11145, 15603, 26005

Step-4: Factors of 78029

List of positive integer factors of 78029 that divides 78015 without a remainder.

1, 7, 71, 157, 497, 1099, 11147

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78015 and 78029. The biggest common factor number is the GCF number.
So the greatest common factor 78015 and 78029 is 7.

Also check out the Least Common Multiple of 78015 and 78029