What is the Greatest Common Factor of 29035 and 29050?

Greatest common factor (GCF) of 29035 and 29050 is 5.

GCF(29035,29050) = 5

We will now calculate the prime factors of 29035 and 29050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29035 and 29050.

How to find the GCF of 29035 and 29050?

We will first find the prime factorization of 29035 and 29050. After we will calculate the factors of 29035 and 29050 and find the biggest common factor number .

Step-1: Prime Factorization of 29035

Prime factors of 29035 are 5, 5807. Prime factorization of 29035 in exponential form is:

29035 = 5¹ × 5807¹

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 29035

List of positive integer factors of 29035 that divides 29035 without a remainder.

1, 5, 5807

Step-4: Factors of 29050

List of positive integer factors of 29050 that divides 29035 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 29035 and 29050. The biggest common factor number is the GCF number.
So the greatest common factor 29035 and 29050 is 5.

Also check out the Least Common Multiple of 29035 and 29050