What is the Greatest Common Factor of 34986 and 34991?

Greatest common factor (GCF) of 34986 and 34991 is 1.

GCF(34986,34991) = 1

We will now calculate the prime factors of 34986 and 34991, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34986 and 34991.

How to find the GCF of 34986 and 34991?

We will first find the prime factorization of 34986 and 34991. After we will calculate the factors of 34986 and 34991 and find the biggest common factor number .

Step-1: Prime Factorization of 34986

Prime factors of 34986 are 2, 3, 7, 17. Prime factorization of 34986 in exponential form is:

34986 = 2¹ × 3¹ × 7³ × 17¹

Step-2: Prime Factorization of 34991

Prime factors of 34991 are 11, 3181. Prime factorization of 34991 in exponential form is:

34991 = 11¹ × 3181¹

Step-3: Factors of 34986

List of positive integer factors of 34986 that divides 34986 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 49, 51, 98, 102, 119, 147, 238, 294, 343, 357, 686, 714, 833, 1029, 1666, 2058, 2499, 4998, 5831, 11662, 17493

Step-4: Factors of 34991

List of positive integer factors of 34991 that divides 34986 without a remainder.

1, 11, 3181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34986 and 34991. The biggest common factor number is the GCF number.
So the greatest common factor 34986 and 34991 is 1.

Also check out the Least Common Multiple of 34986 and 34991