What is the Greatest Common Factor of 6954 and 6964?

Greatest common factor (GCF) of 6954 and 6964 is 2.

GCF(6954,6964) = 2

We will now calculate the prime factors of 6954 and 6964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6954 and 6964.

How to find the GCF of 6954 and 6964?

We will first find the prime factorization of 6954 and 6964. After we will calculate the factors of 6954 and 6964 and find the biggest common factor number .

Step-1: Prime Factorization of 6954

Prime factors of 6954 are 2, 3, 19, 61. Prime factorization of 6954 in exponential form is:

6954 = 2¹ × 3¹ × 19¹ × 61¹

Step-2: Prime Factorization of 6964

Prime factors of 6964 are 2, 1741. Prime factorization of 6964 in exponential form is:

6964 = 2² × 1741¹

Step-3: Factors of 6954

List of positive integer factors of 6954 that divides 6954 without a remainder.

1, 2, 3, 6, 19, 38, 57, 61, 114, 122, 183, 366, 1159, 2318, 3477

Step-4: Factors of 6964

List of positive integer factors of 6964 that divides 6954 without a remainder.

1, 2, 4, 1741, 3482

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6954 and 6964. The biggest common factor number is the GCF number.
So the greatest common factor 6954 and 6964 is 2.

Also check out the Least Common Multiple of 6954 and 6964