What is the Greatest Common Factor of 29050 and 29054?

Greatest common factor (GCF) of 29050 and 29054 is 2.

GCF(29050,29054) = 2

We will now calculate the prime factors of 29050 and 29054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29050 and 29054.

How to find the GCF of 29050 and 29054?

We will first find the prime factorization of 29050 and 29054. After we will calculate the factors of 29050 and 29054 and find the biggest common factor number .

Step-1: Prime Factorization of 29050

Prime factors of 29050 are 2, 5, 7, 83. Prime factorization of 29050 in exponential form is:

29050 = 2¹ × 5² × 7¹ × 83¹

Step-2: Prime Factorization of 29054

Prime factors of 29054 are 2, 73, 199. Prime factorization of 29054 in exponential form is:

29054 = 2¹ × 73¹ × 199¹

Step-3: Factors of 29050

List of positive integer factors of 29050 that divides 29050 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 83, 166, 175, 350, 415, 581, 830, 1162, 2075, 2905, 4150, 5810, 14525

Step-4: Factors of 29054

List of positive integer factors of 29054 that divides 29050 without a remainder.

1, 2, 73, 146, 199, 398, 14527

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29050 and 29054. The biggest common factor number is the GCF number.
So the greatest common factor 29050 and 29054 is 2.

Also check out the Least Common Multiple of 29050 and 29054