What is the Greatest Common Factor of 29942 and 29953?

Greatest common factor (GCF) of 29942 and 29953 is 11.

GCF(29942,29953) = 11

We will now calculate the prime factors of 29942 and 29953, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29942 and 29953.

How to find the GCF of 29942 and 29953?

We will first find the prime factorization of 29942 and 29953. After we will calculate the factors of 29942 and 29953 and find the biggest common factor number .

Step-1: Prime Factorization of 29942

Prime factors of 29942 are 2, 11, 1361. Prime factorization of 29942 in exponential form is:

29942 = 2¹ × 11¹ × 1361¹

Step-2: Prime Factorization of 29953

Prime factors of 29953 are 7, 11, 389. Prime factorization of 29953 in exponential form is:

29953 = 7¹ × 11¹ × 389¹

Step-3: Factors of 29942

List of positive integer factors of 29942 that divides 29942 without a remainder.

1, 2, 11, 22, 1361, 2722, 14971

Step-4: Factors of 29953

List of positive integer factors of 29953 that divides 29942 without a remainder.

1, 7, 11, 77, 389, 2723, 4279

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29942 and 29953. The biggest common factor number is the GCF number.
So the greatest common factor 29942 and 29953 is 11.

Also check out the Least Common Multiple of 29942 and 29953