What is the Greatest Common Factor of 70616 and 70629?

Greatest common factor (GCF) of 70616 and 70629 is 13.

GCF(70616,70629) = 13

We will now calculate the prime factors of 70616 and 70629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70616 and 70629.

How to find the GCF of 70616 and 70629?

We will first find the prime factorization of 70616 and 70629. After we will calculate the factors of 70616 and 70629 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 70629

Prime factors of 70629 are 3, 13, 1811. Prime factorization of 70629 in exponential form is:

70629 = 3¹ × 13¹ × 1811¹

Step-3: Factors of 70616

List of positive integer factors of 70616 that divides 70616 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

Step-4: Factors of 70629

List of positive integer factors of 70629 that divides 70616 without a remainder.

1, 3, 13, 39, 1811, 5433, 23543

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70616 and 70629. The biggest common factor number is the GCF number.
So the greatest common factor 70616 and 70629 is 13.

Also check out the Least Common Multiple of 70616 and 70629