What is the Greatest Common Factor of 29038 and 29050?

Greatest common factor (GCF) of 29038 and 29050 is 2.

GCF(29038,29050) = 2

We will now calculate the prime factors of 29038 and 29050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29038 and 29050.

How to find the GCF of 29038 and 29050?

We will first find the prime factorization of 29038 and 29050. After we will calculate the factors of 29038 and 29050 and find the biggest common factor number .

Step-1: Prime Factorization of 29038

Prime factors of 29038 are 2, 14519. Prime factorization of 29038 in exponential form is:

29038 = 2¹ × 14519¹

Step-2: 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-3: Factors of 29038

List of positive integer factors of 29038 that divides 29038 without a remainder.

1, 2, 14519

Step-4: Factors of 29050

List of positive integer factors of 29050 that divides 29038 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29038 and 29050. The biggest common factor number is the GCF number.
So the greatest common factor 29038 and 29050 is 2.

Also check out the Least Common Multiple of 29038 and 29050