What is the Greatest Common Factor of 57022 and 57029?

Greatest common factor (GCF) of 57022 and 57029 is 7.

GCF(57022,57029) = 7

We will now calculate the prime factors of 57022 and 57029, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57022 and 57029.

How to find the GCF of 57022 and 57029?

We will first find the prime factorization of 57022 and 57029. After we will calculate the factors of 57022 and 57029 and find the biggest common factor number .

Step-1: Prime Factorization of 57022

Prime factors of 57022 are 2, 7, 4073. Prime factorization of 57022 in exponential form is:

57022 = 2¹ × 7¹ × 4073¹

Step-2: Prime Factorization of 57029

Prime factors of 57029 are 7, 8147. Prime factorization of 57029 in exponential form is:

57029 = 7¹ × 8147¹

Step-3: Factors of 57022

List of positive integer factors of 57022 that divides 57022 without a remainder.

1, 2, 7, 14, 4073, 8146, 28511

Step-4: Factors of 57029

List of positive integer factors of 57029 that divides 57022 without a remainder.

1, 7, 8147

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57022 and 57029. The biggest common factor number is the GCF number.
So the greatest common factor 57022 and 57029 is 7.

Also check out the Least Common Multiple of 57022 and 57029