What is the Greatest Common Factor of 70546 and 70564?

Greatest common factor (GCF) of 70546 and 70564 is 2.

GCF(70546,70564) = 2

We will now calculate the prime factors of 70546 and 70564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70546 and 70564.

How to find the GCF of 70546 and 70564?

We will first find the prime factorization of 70546 and 70564. After we will calculate the factors of 70546 and 70564 and find the biggest common factor number .

Step-1: Prime Factorization of 70546

Prime factors of 70546 are 2, 7, 5039. Prime factorization of 70546 in exponential form is:

70546 = 2¹ × 7¹ × 5039¹

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 70546

List of positive integer factors of 70546 that divides 70546 without a remainder.

1, 2, 7, 14, 5039, 10078, 35273

Step-4: Factors of 70564

List of positive integer factors of 70564 that divides 70546 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 70546 and 70564. The biggest common factor number is the GCF number.
So the greatest common factor 70546 and 70564 is 2.

Also check out the Least Common Multiple of 70546 and 70564