What is the Greatest Common Factor of 5050 and 5070?

Greatest common factor (GCF) of 5050 and 5070 is 10.

GCF(5050,5070) = 10

We will now calculate the prime factors of 5050 and 5070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5050 and 5070.

How to find the GCF of 5050 and 5070?

We will first find the prime factorization of 5050 and 5070. After we will calculate the factors of 5050 and 5070 and find the biggest common factor number .

Step-1: Prime Factorization of 5050

Prime factors of 5050 are 2, 5, 101. Prime factorization of 5050 in exponential form is:

5050 = 2¹ × 5² × 101¹

Step-2: Prime Factorization of 5070

Prime factors of 5070 are 2, 3, 5, 13. Prime factorization of 5070 in exponential form is:

5070 = 2¹ × 3¹ × 5¹ × 13²

Step-3: Factors of 5050

List of positive integer factors of 5050 that divides 5050 without a remainder.

1, 2, 5, 10, 25, 50, 101, 202, 505, 1010, 2525

Step-4: Factors of 5070

List of positive integer factors of 5070 that divides 5050 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 169, 195, 338, 390, 507, 845, 1014, 1690, 2535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5050 and 5070. The biggest common factor number is the GCF number.
So the greatest common factor 5050 and 5070 is 10.

Also check out the Least Common Multiple of 5050 and 5070