What is the Greatest Common Factor of 70564 and 70578?

Greatest common factor (GCF) of 70564 and 70578 is 2.

GCF(70564,70578) = 2

We will now calculate the prime factors of 70564 and 70578, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70564 and 70578.

How to find the GCF of 70564 and 70578?

We will first find the prime factorization of 70564 and 70578. After we will calculate the factors of 70564 and 70578 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 70578

Prime factors of 70578 are 2, 3, 1307. Prime factorization of 70578 in exponential form is:

70578 = 2¹ × 3³ × 1307¹

Step-3: Factors of 70564

List of positive integer factors of 70564 that divides 70564 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

Step-4: Factors of 70578

List of positive integer factors of 70578 that divides 70564 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1307, 2614, 3921, 7842, 11763, 23526, 35289

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70564 and 70578. The biggest common factor number is the GCF number.
So the greatest common factor 70564 and 70578 is 2.

Also check out the Least Common Multiple of 70564 and 70578