What is the Greatest Common Factor of 29677 and 29682?

Greatest common factor (GCF) of 29677 and 29682 is 1.

GCF(29677,29682) = 1

We will now calculate the prime factors of 29677 and 29682, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29677 and 29682.

How to find the GCF of 29677 and 29682?

We will first find the prime factorization of 29677 and 29682. After we will calculate the factors of 29677 and 29682 and find the biggest common factor number .

Step-1: Prime Factorization of 29677

Prime factors of 29677 are 59, 503. Prime factorization of 29677 in exponential form is:

29677 = 59¹ × 503¹

Step-2: Prime Factorization of 29682

Prime factors of 29682 are 2, 3, 17, 97. Prime factorization of 29682 in exponential form is:

29682 = 2¹ × 3² × 17¹ × 97¹

Step-3: Factors of 29677

List of positive integer factors of 29677 that divides 29677 without a remainder.

1, 59, 503

Step-4: Factors of 29682

List of positive integer factors of 29682 that divides 29677 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 97, 102, 153, 194, 291, 306, 582, 873, 1649, 1746, 3298, 4947, 9894, 14841

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29677 and 29682. The biggest common factor number is the GCF number.
So the greatest common factor 29677 and 29682 is 1.

Also check out the Least Common Multiple of 29677 and 29682