What is the Greatest Common Factor of 53949 and 53968?

Greatest common factor (GCF) of 53949 and 53968 is 1.

GCF(53949,53968) = 1

We will now calculate the prime factors of 53949 and 53968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53949 and 53968.

How to find the GCF of 53949 and 53968?

We will first find the prime factorization of 53949 and 53968. After we will calculate the factors of 53949 and 53968 and find the biggest common factor number .

Step-1: Prime Factorization of 53949

Prime factors of 53949 are 3, 7, 367. Prime factorization of 53949 in exponential form is:

53949 = 3¹ × 7² × 367¹

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 53949

List of positive integer factors of 53949 that divides 53949 without a remainder.

1, 3, 7, 21, 49, 147, 367, 1101, 2569, 7707, 17983

Step-4: Factors of 53968

List of positive integer factors of 53968 that divides 53949 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 53949 and 53968. The biggest common factor number is the GCF number.
So the greatest common factor 53949 and 53968 is 1.

Also check out the Least Common Multiple of 53949 and 53968