What is the Greatest Common Factor of 29890 and 29897?

Greatest common factor (GCF) of 29890 and 29897 is 7.

GCF(29890,29897) = 7

We will now calculate the prime factors of 29890 and 29897, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29890 and 29897.

How to find the GCF of 29890 and 29897?

We will first find the prime factorization of 29890 and 29897. After we will calculate the factors of 29890 and 29897 and find the biggest common factor number .

Step-1: Prime Factorization of 29890

Prime factors of 29890 are 2, 5, 7, 61. Prime factorization of 29890 in exponential form is:

29890 = 2¹ × 5¹ × 7² × 61¹

Step-2: Prime Factorization of 29897

Prime factors of 29897 are 7, 4271. Prime factorization of 29897 in exponential form is:

29897 = 7¹ × 4271¹

Step-3: Factors of 29890

List of positive integer factors of 29890 that divides 29890 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 61, 70, 98, 122, 245, 305, 427, 490, 610, 854, 2135, 2989, 4270, 5978, 14945

Step-4: Factors of 29897

List of positive integer factors of 29897 that divides 29890 without a remainder.

1, 7, 4271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29890 and 29897. The biggest common factor number is the GCF number.
So the greatest common factor 29890 and 29897 is 7.

Also check out the Least Common Multiple of 29890 and 29897