What is the Greatest Common Factor of 70574 and 70588?

Greatest common factor (GCF) of 70574 and 70588 is 14.

GCF(70574,70588) = 14

We will now calculate the prime factors of 70574 and 70588, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70574 and 70588.

How to find the GCF of 70574 and 70588?

We will first find the prime factorization of 70574 and 70588. After we will calculate the factors of 70574 and 70588 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 70588

Prime factors of 70588 are 2, 7, 2521. Prime factorization of 70588 in exponential form is:

70588 = 2² × 7¹ × 2521¹

Step-3: Factors of 70574

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

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

Step-4: Factors of 70588

List of positive integer factors of 70588 that divides 70574 without a remainder.

1, 2, 4, 7, 14, 28, 2521, 5042, 10084, 17647, 35294

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70574 and 70588. The biggest common factor number is the GCF number.
So the greatest common factor 70574 and 70588 is 14.

Also check out the Least Common Multiple of 70574 and 70588