What is the Greatest Common Factor of 70419 and 70437?

Greatest common factor (GCF) of 70419 and 70437 is 3.

GCF(70419,70437) = 3

We will now calculate the prime factors of 70419 and 70437, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70419 and 70437.

How to find the GCF of 70419 and 70437?

We will first find the prime factorization of 70419 and 70437. After we will calculate the factors of 70419 and 70437 and find the biggest common factor number .

Step-1: Prime Factorization of 70419

Prime factors of 70419 are 3, 23473. Prime factorization of 70419 in exponential form is:

70419 = 3¹ × 23473¹

Step-2: Prime Factorization of 70437

Prime factors of 70437 are 3, 53, 443. Prime factorization of 70437 in exponential form is:

70437 = 3¹ × 53¹ × 443¹

Step-3: Factors of 70419

List of positive integer factors of 70419 that divides 70419 without a remainder.

1, 3, 23473

Step-4: Factors of 70437

List of positive integer factors of 70437 that divides 70419 without a remainder.

1, 3, 53, 159, 443, 1329, 23479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70419 and 70437. The biggest common factor number is the GCF number.
So the greatest common factor 70419 and 70437 is 3.

Also check out the Least Common Multiple of 70419 and 70437