What is the Greatest Common Factor of 70556 and 70564?

Greatest common factor (GCF) of 70556 and 70564 is 4.

GCF(70556,70564) = 4

We will now calculate the prime factors of 70556 and 70564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70556 and 70564.

How to find the GCF of 70556 and 70564?

We will first find the prime factorization of 70556 and 70564. After we will calculate the factors of 70556 and 70564 and find the biggest common factor number .

Step-1: Prime Factorization of 70556

Prime factors of 70556 are 2, 31, 569. Prime factorization of 70556 in exponential form is:

70556 = 2² × 31¹ × 569¹

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 70556

List of positive integer factors of 70556 that divides 70556 without a remainder.

1, 2, 4, 31, 62, 124, 569, 1138, 2276, 17639, 35278

Step-4: Factors of 70564

List of positive integer factors of 70564 that divides 70556 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 70556 and 70564. The biggest common factor number is the GCF number.
So the greatest common factor 70556 and 70564 is 4.

Also check out the Least Common Multiple of 70556 and 70564