What is the Greatest Common Factor of 50050 and 50070?

Greatest common factor (GCF) of 50050 and 50070 is 10.

GCF(50050,50070) = 10

We will now calculate the prime factors of 50050 and 50070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50050 and 50070.

How to find the GCF of 50050 and 50070?

We will first find the prime factorization of 50050 and 50070. After we will calculate the factors of 50050 and 50070 and find the biggest common factor number .

Step-1: Prime Factorization of 50050

Prime factors of 50050 are 2, 5, 7, 11, 13. Prime factorization of 50050 in exponential form is:

50050 = 2¹ × 5² × 7¹ × 11¹ × 13¹

Step-2: Prime Factorization of 50070

Prime factors of 50070 are 2, 3, 5, 1669. Prime factorization of 50070 in exponential form is:

50070 = 2¹ × 3¹ × 5¹ × 1669¹

Step-3: Factors of 50050

List of positive integer factors of 50050 that divides 50050 without a remainder.

1, 2, 5, 7, 10, 11, 13, 14, 22, 25, 26, 35, 50, 55, 65, 70, 77, 91, 110, 130, 143, 154, 175, 182, 275, 286, 325, 350, 385, 455, 550, 650, 715, 770, 910, 1001, 1430, 1925, 2002, 2275, 3575, 3850, 4550, 5005, 7150, 10010, 25025

Step-4: Factors of 50070

List of positive integer factors of 50070 that divides 50050 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1669, 3338, 5007, 8345, 10014, 16690, 25035

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50050 and 50070. The biggest common factor number is the GCF number.
So the greatest common factor 50050 and 50070 is 10.

Also check out the Least Common Multiple of 50050 and 50070