What is the Greatest Common Factor of 70399 and 70413?

Greatest common factor (GCF) of 70399 and 70413 is 7.

GCF(70399,70413) = 7

We will now calculate the prime factors of 70399 and 70413, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70399 and 70413.

How to find the GCF of 70399 and 70413?

We will first find the prime factorization of 70399 and 70413. After we will calculate the factors of 70399 and 70413 and find the biggest common factor number .

Step-1: Prime Factorization of 70399

Prime factors of 70399 are 7, 89, 113. Prime factorization of 70399 in exponential form is:

70399 = 7¹ × 89¹ × 113¹

Step-2: Prime Factorization of 70413

Prime factors of 70413 are 3, 7, 479. Prime factorization of 70413 in exponential form is:

70413 = 3¹ × 7² × 479¹

Step-3: Factors of 70399

List of positive integer factors of 70399 that divides 70399 without a remainder.

1, 7, 89, 113, 623, 791, 10057

Step-4: Factors of 70413

List of positive integer factors of 70413 that divides 70399 without a remainder.

1, 3, 7, 21, 49, 147, 479, 1437, 3353, 10059, 23471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70399 and 70413. The biggest common factor number is the GCF number.
So the greatest common factor 70399 and 70413 is 7.

Also check out the Least Common Multiple of 70399 and 70413