What is the Greatest Common Factor of 29965 and 29972?

Greatest common factor (GCF) of 29965 and 29972 is 1.

GCF(29965,29972) = 1

We will now calculate the prime factors of 29965 and 29972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29965 and 29972.

How to find the GCF of 29965 and 29972?

We will first find the prime factorization of 29965 and 29972. After we will calculate the factors of 29965 and 29972 and find the biggest common factor number .

Step-1: Prime Factorization of 29965

Prime factors of 29965 are 5, 13, 461. Prime factorization of 29965 in exponential form is:

29965 = 5¹ × 13¹ × 461¹

Step-2: Prime Factorization of 29972

Prime factors of 29972 are 2, 59, 127. Prime factorization of 29972 in exponential form is:

29972 = 2² × 59¹ × 127¹

Step-3: Factors of 29965

List of positive integer factors of 29965 that divides 29965 without a remainder.

1, 5, 13, 65, 461, 2305, 5993

Step-4: Factors of 29972

List of positive integer factors of 29972 that divides 29965 without a remainder.

1, 2, 4, 59, 118, 127, 236, 254, 508, 7493, 14986

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29965 and 29972. The biggest common factor number is the GCF number.
So the greatest common factor 29965 and 29972 is 1.

Also check out the Least Common Multiple of 29965 and 29972