What is the Greatest Common Factor of 70554 and 70564?

Greatest common factor (GCF) of 70554 and 70564 is 2.

GCF(70554,70564) = 2

We will now calculate the prime factors of 70554 and 70564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70554 and 70564.

How to find the GCF of 70554 and 70564?

We will first find the prime factorization of 70554 and 70564. After we will calculate the factors of 70554 and 70564 and find the biggest common factor number .

Step-1: Prime Factorization of 70554

Prime factors of 70554 are 2, 3, 11, 1069. Prime factorization of 70554 in exponential form is:

70554 = 2¹ × 3¹ × 11¹ × 1069¹

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 70554

List of positive integer factors of 70554 that divides 70554 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1069, 2138, 3207, 6414, 11759, 23518, 35277

Step-4: Factors of 70564

List of positive integer factors of 70564 that divides 70554 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 70554 and 70564. The biggest common factor number is the GCF number.
So the greatest common factor 70554 and 70564 is 2.

Also check out the Least Common Multiple of 70554 and 70564