What is the Greatest Common Factor of 70808 and 70820?

Greatest common factor (GCF) of 70808 and 70820 is 4.

GCF(70808,70820) = 4

We will now calculate the prime factors of 70808 and 70820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70808 and 70820.

How to find the GCF of 70808 and 70820?

We will first find the prime factorization of 70808 and 70820. After we will calculate the factors of 70808 and 70820 and find the biggest common factor number .

Step-1: Prime Factorization of 70808

Prime factors of 70808 are 2, 53, 167. Prime factorization of 70808 in exponential form is:

70808 = 2³ × 53¹ × 167¹

Step-2: Prime Factorization of 70820

Prime factors of 70820 are 2, 5, 3541. Prime factorization of 70820 in exponential form is:

70820 = 2² × 5¹ × 3541¹

Step-3: Factors of 70808

List of positive integer factors of 70808 that divides 70808 without a remainder.

1, 2, 4, 8, 53, 106, 167, 212, 334, 424, 668, 1336, 8851, 17702, 35404

Step-4: Factors of 70820

List of positive integer factors of 70820 that divides 70808 without a remainder.

1, 2, 4, 5, 10, 20, 3541, 7082, 14164, 17705, 35410

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70808 and 70820. The biggest common factor number is the GCF number.
So the greatest common factor 70808 and 70820 is 4.

Also check out the Least Common Multiple of 70808 and 70820