What is the Greatest Common Factor of 50050 and 50064?

Greatest common factor (GCF) of 50050 and 50064 is 14.

GCF(50050,50064) = 14

We will now calculate the prime factors of 50050 and 50064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50050 and 50064.

How to find the GCF of 50050 and 50064?

We will first find the prime factorization of 50050 and 50064. After we will calculate the factors of 50050 and 50064 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 50064

Prime factors of 50064 are 2, 3, 7, 149. Prime factorization of 50064 in exponential form is:

50064 = 2⁴ × 3¹ × 7¹ × 149¹

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 50064

List of positive integer factors of 50064 that divides 50050 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 149, 168, 298, 336, 447, 596, 894, 1043, 1192, 1788, 2086, 2384, 3129, 3576, 4172, 6258, 7152, 8344, 12516, 16688, 25032

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50050 and 50064. The biggest common factor number is the GCF number.
So the greatest common factor 50050 and 50064 is 14.

Also check out the Least Common Multiple of 50050 and 50064