What is the Greatest Common Factor of 70569 and 70574?

Greatest common factor (GCF) of 70569 and 70574 is 1.

GCF(70569,70574) = 1

We will now calculate the prime factors of 70569 and 70574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70569 and 70574.

How to find the GCF of 70569 and 70574?

We will first find the prime factorization of 70569 and 70574. After we will calculate the factors of 70569 and 70574 and find the biggest common factor number .

Step-1: Prime Factorization of 70569

Prime factors of 70569 are 3, 7841. Prime factorization of 70569 in exponential form is:

70569 = 3² × 7841¹

Step-2: Prime Factorization of 70574

Prime factors of 70574 are 2, 7, 71. Prime factorization of 70574 in exponential form is:

70574 = 2¹ × 7¹ × 71²

Step-3: Factors of 70569

List of positive integer factors of 70569 that divides 70569 without a remainder.

1, 3, 9, 7841, 23523

Step-4: Factors of 70574

List of positive integer factors of 70574 that divides 70569 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994, 5041, 10082, 35287

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70569 and 70574. The biggest common factor number is the GCF number.
So the greatest common factor 70569 and 70574 is 1.

Also check out the Least Common Multiple of 70569 and 70574