What is the Greatest Common Factor of 70558 and 70564?

Greatest common factor (GCF) of 70558 and 70564 is 2.

GCF(70558,70564) = 2

We will now calculate the prime factors of 70558 and 70564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70558 and 70564.

How to find the GCF of 70558 and 70564?

We will first find the prime factorization of 70558 and 70564. After we will calculate the factors of 70558 and 70564 and find the biggest common factor number .

Step-1: Prime Factorization of 70558

Prime factors of 70558 are 2, 35279. Prime factorization of 70558 in exponential form is:

70558 = 2¹ × 35279¹

Step-2: Prime Factorization of 70564

Prime factors of 70564 are 2, 13, 23, 59. Prime factorization of 70564 in exponential form is:

70564 = 2² × 13¹ × 23¹ × 59¹

Step-3: Factors of 70558

List of positive integer factors of 70558 that divides 70558 without a remainder.

1, 2, 35279

Step-4: Factors of 70564

List of positive integer factors of 70564 that divides 70558 without a remainder.

1, 2, 4, 13, 23, 26, 46, 52, 59, 92, 118, 236, 299, 598, 767, 1196, 1357, 1534, 2714, 3068, 5428, 17641, 35282

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70558 and 70564. The biggest common factor number is the GCF number.
So the greatest common factor 70558 and 70564 is 2.

Also check out the Least Common Multiple of 70558 and 70564