What is the Greatest Common Factor of 29962 and 29968?

Greatest common factor (GCF) of 29962 and 29968 is 2.

GCF(29962,29968) = 2

We will now calculate the prime factors of 29962 and 29968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29962 and 29968.

How to find the GCF of 29962 and 29968?

We will first find the prime factorization of 29962 and 29968. After we will calculate the factors of 29962 and 29968 and find the biggest common factor number .

Step-1: Prime Factorization of 29962

Prime factors of 29962 are 2, 71, 211. Prime factorization of 29962 in exponential form is:

29962 = 2¹ × 71¹ × 211¹

Step-2: Prime Factorization of 29968

Prime factors of 29968 are 2, 1873. Prime factorization of 29968 in exponential form is:

29968 = 2⁴ × 1873¹

Step-3: Factors of 29962

List of positive integer factors of 29962 that divides 29962 without a remainder.

1, 2, 71, 142, 211, 422, 14981

Step-4: Factors of 29968

List of positive integer factors of 29968 that divides 29962 without a remainder.

1, 2, 4, 8, 16, 1873, 3746, 7492, 14984

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29962 and 29968. The biggest common factor number is the GCF number.
So the greatest common factor 29962 and 29968 is 2.

Also check out the Least Common Multiple of 29962 and 29968