What is the Greatest Common Factor of 56567 and 56574?

Greatest common factor (GCF) of 56567 and 56574 is 7.

GCF(56567,56574) = 7

We will now calculate the prime factors of 56567 and 56574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56567 and 56574.

How to find the GCF of 56567 and 56574?

We will first find the prime factorization of 56567 and 56574. After we will calculate the factors of 56567 and 56574 and find the biggest common factor number .

Step-1: Prime Factorization of 56567

Prime factors of 56567 are 7, 8081. Prime factorization of 56567 in exponential form is:

56567 = 7¹ × 8081¹

Step-2: Prime Factorization of 56574

Prime factors of 56574 are 2, 3, 7, 449. Prime factorization of 56574 in exponential form is:

56574 = 2¹ × 3² × 7¹ × 449¹

Step-3: Factors of 56567

List of positive integer factors of 56567 that divides 56567 without a remainder.

1, 7, 8081

Step-4: Factors of 56574

List of positive integer factors of 56574 that divides 56567 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 449, 898, 1347, 2694, 3143, 4041, 6286, 8082, 9429, 18858, 28287

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56567 and 56574. The biggest common factor number is the GCF number.
So the greatest common factor 56567 and 56574 is 7.

Also check out the Least Common Multiple of 56567 and 56574