What is the Greatest Common Factor of 5650 and 5670?

Greatest common factor (GCF) of 5650 and 5670 is 10.

GCF(5650,5670) = 10

We will now calculate the prime factors of 5650 and 5670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5650 and 5670.

How to find the GCF of 5650 and 5670?

We will first find the prime factorization of 5650 and 5670. After we will calculate the factors of 5650 and 5670 and find the biggest common factor number .

Step-1: Prime Factorization of 5650

Prime factors of 5650 are 2, 5, 113. Prime factorization of 5650 in exponential form is:

5650 = 2¹ × 5² × 113¹

Step-2: Prime Factorization of 5670

Prime factors of 5670 are 2, 3, 5, 7. Prime factorization of 5670 in exponential form is:

5670 = 2¹ × 3⁴ × 5¹ × 7¹

Step-3: Factors of 5650

List of positive integer factors of 5650 that divides 5650 without a remainder.

1, 2, 5, 10, 25, 50, 113, 226, 565, 1130, 2825

Step-4: Factors of 5670

List of positive integer factors of 5670 that divides 5650 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 27, 30, 35, 42, 45, 54, 63, 70, 81, 90, 105, 126, 135, 162, 189, 210, 270, 315, 378, 405, 567, 630, 810, 945, 1134, 1890, 2835

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5650 and 5670. The biggest common factor number is the GCF number.
So the greatest common factor 5650 and 5670 is 10.

Also check out the Least Common Multiple of 5650 and 5670