What is the Greatest Common Factor of 70798 and 70802?

Greatest common factor (GCF) of 70798 and 70802 is 2.

GCF(70798,70802) = 2

We will now calculate the prime factors of 70798 and 70802, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70798 and 70802.

How to find the GCF of 70798 and 70802?

We will first find the prime factorization of 70798 and 70802. After we will calculate the factors of 70798 and 70802 and find the biggest common factor number .

Step-1: Prime Factorization of 70798

Prime factors of 70798 are 2, 7, 13, 389. Prime factorization of 70798 in exponential form is:

70798 = 2¹ × 7¹ × 13¹ × 389¹

Step-2: Prime Factorization of 70802

Prime factors of 70802 are 2, 35401. Prime factorization of 70802 in exponential form is:

70802 = 2¹ × 35401¹

Step-3: Factors of 70798

List of positive integer factors of 70798 that divides 70798 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 389, 778, 2723, 5057, 5446, 10114, 35399

Step-4: Factors of 70802

List of positive integer factors of 70802 that divides 70798 without a remainder.

1, 2, 35401

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70798 and 70802. The biggest common factor number is the GCF number.
So the greatest common factor 70798 and 70802 is 2.

Also check out the Least Common Multiple of 70798 and 70802