What is the Greatest Common Factor of 29896 and 29902?

Greatest common factor (GCF) of 29896 and 29902 is 2.

GCF(29896,29902) = 2

We will now calculate the prime factors of 29896 and 29902, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29896 and 29902.

How to find the GCF of 29896 and 29902?

We will first find the prime factorization of 29896 and 29902. After we will calculate the factors of 29896 and 29902 and find the biggest common factor number .

Step-1: Prime Factorization of 29896

Prime factors of 29896 are 2, 37, 101. Prime factorization of 29896 in exponential form is:

29896 = 2³ × 37¹ × 101¹

Step-2: Prime Factorization of 29902

Prime factors of 29902 are 2, 14951. Prime factorization of 29902 in exponential form is:

29902 = 2¹ × 14951¹

Step-3: Factors of 29896

List of positive integer factors of 29896 that divides 29896 without a remainder.

1, 2, 4, 8, 37, 74, 101, 148, 202, 296, 404, 808, 3737, 7474, 14948

Step-4: Factors of 29902

List of positive integer factors of 29902 that divides 29896 without a remainder.

1, 2, 14951

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29896 and 29902. The biggest common factor number is the GCF number.
So the greatest common factor 29896 and 29902 is 2.

Also check out the Least Common Multiple of 29896 and 29902