What is the Greatest Common Factor of 70427 and 70441?

Greatest common factor (GCF) of 70427 and 70441 is 7.

GCF(70427,70441) = 7

We will now calculate the prime factors of 70427 and 70441, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70427 and 70441.

How to find the GCF of 70427 and 70441?

We will first find the prime factorization of 70427 and 70441. After we will calculate the factors of 70427 and 70441 and find the biggest common factor number .

Step-1: Prime Factorization of 70427

Prime factors of 70427 are 7, 10061. Prime factorization of 70427 in exponential form is:

70427 = 7¹ × 10061¹

Step-2: Prime Factorization of 70441

Prime factors of 70441 are 7, 29, 347. Prime factorization of 70441 in exponential form is:

70441 = 7¹ × 29¹ × 347¹

Step-3: Factors of 70427

List of positive integer factors of 70427 that divides 70427 without a remainder.

1, 7, 10061

Step-4: Factors of 70441

List of positive integer factors of 70441 that divides 70427 without a remainder.

1, 7, 29, 203, 347, 2429, 10063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70427 and 70441. The biggest common factor number is the GCF number.
So the greatest common factor 70427 and 70441 is 7.

Also check out the Least Common Multiple of 70427 and 70441