What is the Greatest Common Factor of 78012 and 78021?

Greatest common factor (GCF) of 78012 and 78021 is 9.

GCF(78012,78021) = 9

We will now calculate the prime factors of 78012 and 78021, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78012 and 78021.

How to find the GCF of 78012 and 78021?

We will first find the prime factorization of 78012 and 78021. After we will calculate the factors of 78012 and 78021 and find the biggest common factor number .

Step-1: Prime Factorization of 78012

Prime factors of 78012 are 2, 3, 11, 197. Prime factorization of 78012 in exponential form is:

78012 = 2² × 3² × 11¹ × 197¹

Step-2: Prime Factorization of 78021

Prime factors of 78021 are 3, 8669. Prime factorization of 78021 in exponential form is:

78021 = 3² × 8669¹

Step-3: Factors of 78012

List of positive integer factors of 78012 that divides 78012 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 197, 198, 394, 396, 591, 788, 1182, 1773, 2167, 2364, 3546, 4334, 6501, 7092, 8668, 13002, 19503, 26004, 39006

Step-4: Factors of 78021

List of positive integer factors of 78021 that divides 78012 without a remainder.

1, 3, 9, 8669, 26007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78012 and 78021. The biggest common factor number is the GCF number.
So the greatest common factor 78012 and 78021 is 9.

Also check out the Least Common Multiple of 78012 and 78021