What is the Greatest Common Factor of 78029 and 78036?

Greatest common factor (GCF) of 78029 and 78036 is 7.

GCF(78029,78036) = 7

We will now calculate the prime factors of 78029 and 78036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78029 and 78036.

How to find the GCF of 78029 and 78036?

We will first find the prime factorization of 78029 and 78036. After we will calculate the factors of 78029 and 78036 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 78036

Prime factors of 78036 are 2, 3, 7, 929. Prime factorization of 78036 in exponential form is:

78036 = 2² × 3¹ × 7¹ × 929¹

Step-3: Factors of 78029

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

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

Step-4: Factors of 78036

List of positive integer factors of 78036 that divides 78029 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 929, 1858, 2787, 3716, 5574, 6503, 11148, 13006, 19509, 26012, 39018

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78029 and 78036. The biggest common factor number is the GCF number.
So the greatest common factor 78029 and 78036 is 7.

Also check out the Least Common Multiple of 78029 and 78036