What is the Greatest Common Factor of 70803 and 70812?

Greatest common factor (GCF) of 70803 and 70812 is 9.

GCF(70803,70812) = 9

We will now calculate the prime factors of 70803 and 70812, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70803 and 70812.

How to find the GCF of 70803 and 70812?

We will first find the prime factorization of 70803 and 70812. After we will calculate the factors of 70803 and 70812 and find the biggest common factor number .

Step-1: Prime Factorization of 70803

Prime factors of 70803 are 3, 7867. Prime factorization of 70803 in exponential form is:

70803 = 3² × 7867¹

Step-2: Prime Factorization of 70812

Prime factors of 70812 are 2, 3, 7, 281. Prime factorization of 70812 in exponential form is:

70812 = 2² × 3² × 7¹ × 281¹

Step-3: Factors of 70803

List of positive integer factors of 70803 that divides 70803 without a remainder.

1, 3, 9, 7867, 23601

Step-4: Factors of 70812

List of positive integer factors of 70812 that divides 70803 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252, 281, 562, 843, 1124, 1686, 1967, 2529, 3372, 3934, 5058, 5901, 7868, 10116, 11802, 17703, 23604, 35406

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70803 and 70812. The biggest common factor number is the GCF number.
So the greatest common factor 70803 and 70812 is 9.

Also check out the Least Common Multiple of 70803 and 70812