What is the Greatest Common Factor of 86946 and 86954?

Greatest common factor (GCF) of 86946 and 86954 is 2.

GCF(86946,86954) = 2

We will now calculate the prime factors of 86946 and 86954, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86946 and 86954.

How to find the GCF of 86946 and 86954?

We will first find the prime factorization of 86946 and 86954. After we will calculate the factors of 86946 and 86954 and find the biggest common factor number .

Step-1: Prime Factorization of 86946

Prime factors of 86946 are 2, 3, 43, 337. Prime factorization of 86946 in exponential form is:

86946 = 2¹ × 3¹ × 43¹ × 337¹

Step-2: Prime Factorization of 86954

Prime factors of 86954 are 2, 7, 6211. Prime factorization of 86954 in exponential form is:

86954 = 2¹ × 7¹ × 6211¹

Step-3: Factors of 86946

List of positive integer factors of 86946 that divides 86946 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258, 337, 674, 1011, 2022, 14491, 28982, 43473

Step-4: Factors of 86954

List of positive integer factors of 86954 that divides 86946 without a remainder.

1, 2, 7, 14, 6211, 12422, 43477

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86946 and 86954. The biggest common factor number is the GCF number.
So the greatest common factor 86946 and 86954 is 2.

Also check out the Least Common Multiple of 86946 and 86954