What is the Greatest Common Factor of 53954 and 53968?

Greatest common factor (GCF) of 53954 and 53968 is 2.

GCF(53954,53968) = 2

We will now calculate the prime factors of 53954 and 53968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53954 and 53968.

How to find the GCF of 53954 and 53968?

We will first find the prime factorization of 53954 and 53968. After we will calculate the factors of 53954 and 53968 and find the biggest common factor number .

Step-1: Prime Factorization of 53954

Prime factors of 53954 are 2, 53, 509. Prime factorization of 53954 in exponential form is:

53954 = 2¹ × 53¹ × 509¹

Step-2: Prime Factorization of 53968

Prime factors of 53968 are 2, 3373. Prime factorization of 53968 in exponential form is:

53968 = 2⁴ × 3373¹

Step-3: Factors of 53954

List of positive integer factors of 53954 that divides 53954 without a remainder.

1, 2, 53, 106, 509, 1018, 26977

Step-4: Factors of 53968

List of positive integer factors of 53968 that divides 53954 without a remainder.

1, 2, 4, 8, 16, 3373, 6746, 13492, 26984

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53954 and 53968. The biggest common factor number is the GCF number.
So the greatest common factor 53954 and 53968 is 2.

Also check out the Least Common Multiple of 53954 and 53968