What is the Greatest Common Factor of 70399 and 70406?

Greatest common factor (GCF) of 70399 and 70406 is 7.

GCF(70399,70406) = 7

We will now calculate the prime factors of 70399 and 70406, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70399 and 70406.

How to find the GCF of 70399 and 70406?

We will first find the prime factorization of 70399 and 70406. After we will calculate the factors of 70399 and 70406 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 70406

Prime factors of 70406 are 2, 7, 47, 107. Prime factorization of 70406 in exponential form is:

70406 = 2¹ × 7¹ × 47¹ × 107¹

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 70406

List of positive integer factors of 70406 that divides 70399 without a remainder.

1, 2, 7, 14, 47, 94, 107, 214, 329, 658, 749, 1498, 5029, 10058, 35203

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70399 and 70406. The biggest common factor number is the GCF number.
So the greatest common factor 70399 and 70406 is 7.

Also check out the Least Common Multiple of 70399 and 70406