What is the Greatest Common Factor of 70652 and 70669?

Greatest common factor (GCF) of 70652 and 70669 is 17.

GCF(70652,70669) = 17

We will now calculate the prime factors of 70652 and 70669, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70652 and 70669.

How to find the GCF of 70652 and 70669?

We will first find the prime factorization of 70652 and 70669. After we will calculate the factors of 70652 and 70669 and find the biggest common factor number .

Step-1: Prime Factorization of 70652

Prime factors of 70652 are 2, 17, 1039. Prime factorization of 70652 in exponential form is:

70652 = 2² × 17¹ × 1039¹

Step-2: Prime Factorization of 70669

Prime factors of 70669 are 17, 4157. Prime factorization of 70669 in exponential form is:

70669 = 17¹ × 4157¹

Step-3: Factors of 70652

List of positive integer factors of 70652 that divides 70652 without a remainder.

1, 2, 4, 17, 34, 68, 1039, 2078, 4156, 17663, 35326

Step-4: Factors of 70669

List of positive integer factors of 70669 that divides 70652 without a remainder.

1, 17, 4157

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70652 and 70669. The biggest common factor number is the GCF number.
So the greatest common factor 70652 and 70669 is 17.

Also check out the Least Common Multiple of 70652 and 70669