What is the Greatest Common Factor of 70603 and 70616?

Greatest common factor (GCF) of 70603 and 70616 is 13.

GCF(70603,70616) = 13

We will now calculate the prime factors of 70603 and 70616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70603 and 70616.

How to find the GCF of 70603 and 70616?

We will first find the prime factorization of 70603 and 70616. After we will calculate the factors of 70603 and 70616 and find the biggest common factor number .

Step-1: Prime Factorization of 70603

Prime factors of 70603 are 13, 5431. Prime factorization of 70603 in exponential form is:

70603 = 13¹ × 5431¹

Step-2: Prime Factorization of 70616

Prime factors of 70616 are 2, 7, 13, 97. Prime factorization of 70616 in exponential form is:

70616 = 2³ × 7¹ × 13¹ × 97¹

Step-3: Factors of 70603

List of positive integer factors of 70603 that divides 70603 without a remainder.

1, 13, 5431

Step-4: Factors of 70616

List of positive integer factors of 70616 that divides 70603 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 97, 104, 182, 194, 364, 388, 679, 728, 776, 1261, 1358, 2522, 2716, 5044, 5432, 8827, 10088, 17654, 35308

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70603 and 70616. The biggest common factor number is the GCF number.
So the greatest common factor 70603 and 70616 is 13.

Also check out the Least Common Multiple of 70603 and 70616