What is the Greatest Common Factor of 34954 and 34960?

Greatest common factor (GCF) of 34954 and 34960 is 2.

GCF(34954,34960) = 2

We will now calculate the prime factors of 34954 and 34960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34954 and 34960.

How to find the GCF of 34954 and 34960?

We will first find the prime factorization of 34954 and 34960. After we will calculate the factors of 34954 and 34960 and find the biggest common factor number .

Step-1: Prime Factorization of 34954

Prime factors of 34954 are 2, 17477. Prime factorization of 34954 in exponential form is:

34954 = 2¹ × 17477¹

Step-2: Prime Factorization of 34960

Prime factors of 34960 are 2, 5, 19, 23. Prime factorization of 34960 in exponential form is:

34960 = 2⁴ × 5¹ × 19¹ × 23¹

Step-3: Factors of 34954

List of positive integer factors of 34954 that divides 34954 without a remainder.

1, 2, 17477

Step-4: Factors of 34960

List of positive integer factors of 34960 that divides 34954 without a remainder.

1, 2, 4, 5, 8, 10, 16, 19, 20, 23, 38, 40, 46, 76, 80, 92, 95, 115, 152, 184, 190, 230, 304, 368, 380, 437, 460, 760, 874, 920, 1520, 1748, 1840, 2185, 3496, 4370, 6992, 8740, 17480

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34954 and 34960. The biggest common factor number is the GCF number.
So the greatest common factor 34954 and 34960 is 2.

Also check out the Least Common Multiple of 34954 and 34960