What is the Greatest Common Factor of 29042 and 29050?

Greatest common factor (GCF) of 29042 and 29050 is 2.

GCF(29042,29050) = 2

We will now calculate the prime factors of 29042 and 29050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29042 and 29050.

How to find the GCF of 29042 and 29050?

We will first find the prime factorization of 29042 and 29050. After we will calculate the factors of 29042 and 29050 and find the biggest common factor number .

Step-1: Prime Factorization of 29042

Prime factors of 29042 are 2, 13, 1117. Prime factorization of 29042 in exponential form is:

29042 = 2¹ × 13¹ × 1117¹

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 29042

List of positive integer factors of 29042 that divides 29042 without a remainder.

1, 2, 13, 26, 1117, 2234, 14521

Step-4: Factors of 29050

List of positive integer factors of 29050 that divides 29042 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 29042 and 29050. The biggest common factor number is the GCF number.
So the greatest common factor 29042 and 29050 is 2.

Also check out the Least Common Multiple of 29042 and 29050