What is the Greatest Common Factor of 70598 and 70616?

Greatest common factor (GCF) of 70598 and 70616 is 2.

GCF(70598,70616) = 2

We will now calculate the prime factors of 70598 and 70616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70598 and 70616.

How to find the GCF of 70598 and 70616?

We will first find the prime factorization of 70598 and 70616. After we will calculate the factors of 70598 and 70616 and find the biggest common factor number .

Step-1: Prime Factorization of 70598

Prime factors of 70598 are 2, 11, 3209. Prime factorization of 70598 in exponential form is:

70598 = 2¹ × 11¹ × 3209¹

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 70598

List of positive integer factors of 70598 that divides 70598 without a remainder.

1, 2, 11, 22, 3209, 6418, 35299

Step-4: Factors of 70616

List of positive integer factors of 70616 that divides 70598 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 70598 and 70616. The biggest common factor number is the GCF number.
So the greatest common factor 70598 and 70616 is 2.

Also check out the Least Common Multiple of 70598 and 70616