What is the Greatest Common Factor of 29972 and 29977?

Greatest common factor (GCF) of 29972 and 29977 is 1.

GCF(29972,29977) = 1

We will now calculate the prime factors of 29972 and 29977, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29972 and 29977.

How to find the GCF of 29972 and 29977?

We will first find the prime factorization of 29972 and 29977. After we will calculate the factors of 29972 and 29977 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 29977

Prime factors of 29977 are 31, 967. Prime factorization of 29977 in exponential form is:

29977 = 31¹ × 967¹

Step-3: Factors of 29972

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

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

Step-4: Factors of 29977

List of positive integer factors of 29977 that divides 29972 without a remainder.

1, 31, 967

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29972 and 29977. The biggest common factor number is the GCF number.
So the greatest common factor 29972 and 29977 is 1.

Also check out the Least Common Multiple of 29972 and 29977