What is the Greatest Common Factor of 29050 and 29061?

Greatest common factor (GCF) of 29050 and 29061 is 1.

GCF(29050,29061) = 1

We will now calculate the prime factors of 29050 and 29061, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29050 and 29061.

How to find the GCF of 29050 and 29061?

We will first find the prime factorization of 29050 and 29061. After we will calculate the factors of 29050 and 29061 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 29061

Prime factors of 29061 are 3, 3229. Prime factorization of 29061 in exponential form is:

29061 = 3² × 3229¹

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 29061

List of positive integer factors of 29061 that divides 29050 without a remainder.

1, 3, 9, 3229, 9687

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29050 and 29061. The biggest common factor number is the GCF number.
So the greatest common factor 29050 and 29061 is 1.

Also check out the Least Common Multiple of 29050 and 29061