What is the Greatest Common Factor of 70461 and 70467?

Greatest common factor (GCF) of 70461 and 70467 is 3.

GCF(70461,70467) = 3

We will now calculate the prime factors of 70461 and 70467, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70461 and 70467.

How to find the GCF of 70461 and 70467?

We will first find the prime factorization of 70461 and 70467. After we will calculate the factors of 70461 and 70467 and find the biggest common factor number .

Step-1: Prime Factorization of 70461

Prime factors of 70461 are 3, 7829. Prime factorization of 70461 in exponential form is:

70461 = 3² × 7829¹

Step-2: Prime Factorization of 70467

Prime factors of 70467 are 3, 83, 283. Prime factorization of 70467 in exponential form is:

70467 = 3¹ × 83¹ × 283¹

Step-3: Factors of 70461

List of positive integer factors of 70461 that divides 70461 without a remainder.

1, 3, 9, 7829, 23487

Step-4: Factors of 70467

List of positive integer factors of 70467 that divides 70461 without a remainder.

1, 3, 83, 249, 283, 849, 23489

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70461 and 70467. The biggest common factor number is the GCF number.
So the greatest common factor 70461 and 70467 is 3.

Also check out the Least Common Multiple of 70461 and 70467